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1310132313 = 3573832011
BaseRepresentation
bin100111000010111…
…0000100001011001
310101022020121200000
41032011300201121
510140343213223
6334000403213
744315640510
oct11605604131
93338217600
101310132313
11612598886
12306916509
1317b574b29
14c5ddb677
157a042543
hex4e170859

1310132313 has 48 divisors (see below), whose sum is σ = 2249834496. Its totient is φ = 746321040.

The previous prime is 1310132311. The next prime is 1310132339. The reversal of 1310132313 is 3132310131.

It is a happy number.

It is not a de Polignac number, because 1310132313 - 21 = 1310132311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1310132311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 650478 + ... + 652488.

It is an arithmetic number, because the mean of its divisors is an integer number (46871552).

Almost surely, 21310132313 is an apocalyptic number.

It is an amenable number.

1310132313 is a deficient number, since it is larger than the sum of its proper divisors (939702183).

1310132313 is an equidigital number, since it uses as much as digits as its factorization.

1310132313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2404 counting only the distinct ones).

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

The square root of 1310132313 is about 36195.7499300678. The cubic root of 1310132313 is about 1094.2210184927.

Adding to 1310132313 its reverse (3132310131), we get a palindrome (4442442444).

The spelling of 1310132313 in words is "one billion, three hundred ten million, one hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 27 63 81 189 243 383 567 1149 1701 2011 2681 3447 6033 8043 10341 14077 18099 24129 31023 42231 54297 72387 93069 126693 162891 217161 380079 488673 651483 770213 1140237 2310639 3420711 5391491 6931917 16174473 20795751 48523419 62387253 145570257 187161759 436710771 1310132313