131311130312320 has 128 divisors (see below), whose sum is σ = 359722596435840. Its totient is φ = 44900258770944.

The previous prime is 131311130312311. The next prime is 131311130312321. The reversal of 131311130312320 is 23213031113131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×131311130312320² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131311130312321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37619202 + ... + 40961281.

It is an arithmetic number, because the mean of its divisors is an integer number (2810332784655).

Almost surely, 2^{131311130312320} is an apocalyptic number.

131311130312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131311130312320 is an abundant number, since it is smaller than the sum of its proper divisors (228411466123520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131311130312320 is an equidigital number, since it uses as much as digits as its factorization.

131311130312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78580882 (or 78580870 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 131311130312320 its reverse (23213031113131), we get a palindrome (154524161425451).

The spelling of 131311130312320 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred thirty million, three hundred twelve thousand, three hundred twenty".