3125316135213 has 24 divisors (see below), whose sum is σ = 4660473931776. Its totient is φ = 2016114760800.

The previous prime is 3125316135209. The next prime is 3125316135239.

3125316135213 is a `hidden beast` number, since 3 + 1 + 2 + 5 + 31 + 613 + 5 + 2 + 1 + 3 = 666.

3125316135213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3125316135213 - 2² = 3125316135209 is a prime.

It is a super-3 number, since 3×3125316135213³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3125316135203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1996231 + ... + 3199307.

It is an arithmetic number, because the mean of its divisors is an integer number (194186413824).

Almost surely, 2^{3125316135213} is an apocalyptic number.

It is an amenable number.

3125316135213 is a deficient number, since it is larger than the sum of its proper divisors (1535157796563).

3125316135213 is a wasteful number, since it uses less digits than its factorization.

3125316135213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212425 (or 1212422 counting only the distinct ones).

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

The spelling of 3125316135213 in words is "three trillion, one hundred twenty-five billion, three hundred sixteen million, one hundred thirty-five thousand, two hundred thirteen".