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1313201331 = 321337330091
BaseRepresentation
bin100111001000101…
…1101110010110011
310101112000112120100
41032101131302303
510142134420311
6334150243443
744354012211
oct11621356263
93345015510
101313201331
116142a4662
12307956583
1317c0aaa10
14c6599cb1
157a44ba56
hex4e45dcb3

1313201331 has 24 divisors (see below), whose sum is σ = 2048302256. Its totient is φ = 805930560.

The previous prime is 1313201317. The next prime is 1313201377. The reversal of 1313201331 is 1331023131.

It is a happy number.

1313201331 is a `hidden beast` number, since 1 + 313 + 20 + 1 + 331 = 666.

It is not a de Polignac number, because 1313201331 - 210 = 1313200307 is a prime.

It is a super-2 number, since 2×13132013312 = 3448995471480343122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313201311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28596 + ... + 58686.

Almost surely, 21313201331 is an apocalyptic number.

1313201331 is a deficient number, since it is larger than the sum of its proper divisors (735100925).

1313201331 is a wasteful number, since it uses less digits than its factorization.

1313201331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30483 (or 30480 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1313201331 is about 36238.1198601693. The cubic root of 1313201331 is about 1095.0747656462.

Adding to 1313201331 its reverse (1331023131), we get a palindrome (2644224462).

It can be divided in two parts, 131320 and 1331, that added together give a cube (132651 = 513).

The spelling of 1313201331 in words is "one billion, three hundred thirteen million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 3 9 13 39 117 373 1119 3357 4849 14547 30091 43641 90273 270819 391183 1173549 3520647 11223943 33671829 101015487 145911259 437733777 1313201331