6131234321316 has 72 divisors (see below), whose sum is σ = 16692494698880. Its totient is φ = 1886317481664.

The previous prime is 6131234321287. The next prime is 6131234321339.

6131234321316 is a `hidden beast` number, since 6 + 1 + 3 + 12 + 3 + 4 + 321 + 316 = 666.

6131234321316 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6131234321316² (a number of 26 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3362421 + ... + 4854723.

Almost surely, 2^{6131234321316} is an apocalyptic number.

It is an amenable number.

6131234321316 is an abundant number, since it is smaller than the sum of its proper divisors (10561260377564).

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

6131234321316 is a wasteful number, since it uses less digits than its factorization.

6131234321316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501105 (or 1501100 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 6131234321316 in words is "six trillion, one hundred thirty-one billion, two hundred thirty-four million, three hundred twenty-one thousand, three hundred sixteen".