31346264313 has 192 divisors, whose sum is σ = 58879941120. Its totient is φ = 15634612224.

The previous prime is 31346264309. The next prime is 31346264359.

31346264313 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 6 + 2 + 643 + 1 + 3 = 666.

31346264313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31346264313 - 2² = 31346264309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31346264393) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 228804781 + ... + 228804917.

It is an arithmetic number, because the mean of its divisors is an integer number (306666360).

Almost surely, 2^31346264313 is an apocalyptic number.

It is an amenable number.

31346264313 is a deficient number, since it is larger than the sum of its proper divisors (27533676807).

31346264313 is a wasteful number, since it uses less digits than its factorization.

31346264313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 365 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 31346264313 in words is "thirty-one billion, three hundred forty-six million, two hundred sixty-four thousand, three hundred thirteen".