2315316135132 has 432 divisors, whose sum is σ = 7935519207616. Its totient is φ = 553862707200.

The previous prime is 2315316135089. The next prime is 2315316135149.

2315316135132 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 3 + 1 + 613 + 5 + 1 + 32 = 666.

2315316135132 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2315316135132³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 181146582 + ... + 181159362.

Almost surely, 2^{2315316135132} is an apocalyptic number.

2315316135132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2315316135132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967759603808).

2315316135132 is an abundant number, since it is smaller than the sum of its proper divisors (5620203072484).

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

2315316135132 is a wasteful number, since it uses less digits than its factorization.

2315316135132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13290 (or 13274 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The spelling of 2315316135132 in words is "two trillion, three hundred fifteen billion, three hundred sixteen million, one hundred thirty-five thousand, one hundred thirty-two".