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1313212131 = 3271143127347
BaseRepresentation
bin100111001000110…
…0000011011100011
310101112001002101100
41032101200123203
510142140242011
6334150405443
744354055540
oct11621403343
93345032340
101313212131
11614301790
12307960883
1317c0b28ca
14c659dbc7
157a44ed56
hex4e4606e3

1313212131 has 96 divisors (see below), whose sum is σ = 2446000128. Its totient is φ = 659171520.

The previous prime is 1313212099. The next prime is 1313212169. The reversal of 1313212131 is 1312123131.

1313212131 is a `hidden beast` number, since 131 + 321 + 213 + 1 = 666.

It is not a de Polignac number, because 1313212131 - 25 = 1313212099 is a prime.

It is a super-2 number, since 2×13132121312 = 3449052202011122322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313212231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3784300 + ... + 3784646.

It is an arithmetic number, because the mean of its divisors is an integer number (25479168).

Almost surely, 21313212131 is an apocalyptic number.

1313212131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1313212131 is a deficient number, since it is larger than the sum of its proper divisors (1132787997).

1313212131 is a wasteful number, since it uses less digits than its factorization.

1313212131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 538 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1313212131 is about 36238.2688742164. The cubic root of 1313212131 is about 1095.0777676675.

Adding to 1313212131 its reverse (1312123131), we get a palindrome (2625335262).

It can be divided in two parts, 1313 and 212131, that added together give a square (213444 = 4622).

The spelling of 1313212131 in words is "one billion, three hundred thirteen million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 43 63 77 99 127 129 231 301 347 381 387 473 693 889 903 1041 1143 1397 1419 2429 2667 2709 3123 3311 3817 4191 4257 5461 7287 8001 9779 9933 11451 12573 14921 16383 21861 26719 29337 29799 34353 38227 44069 44763 49149 60071 80157 88011 104447 114681 132207 134289 164131 180213 240471 308483 313341 344043 396621 420497 484759 492393 540639 925449 940023 1148917 1261491 1454277 1477179 1894967 2776347 3393313 3446751 3784473 4362831 5684901 10179939 10340253 13264769 17054703 20844637 30539817 39794307 62533911 119382921 145912459 187601733 437737377 1313212131