31345654313 has 8 divisors (see below), whose sum is σ = 31666163976. Its totient is φ = 31025344000.

The previous prime is 31345654283. The next prime is 31345654337.

31345654313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 9164615824 + 22181038489 = 95732^2 + 148933^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31345654313 - 2¹⁶ = 31345588777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31345654363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277145 + ... + 373497.

It is an arithmetic number, because the mean of its divisors is an integer number (3958270497).

Almost surely, 2^31345654313 is an apocalyptic number.

It is an amenable number.

31345654313 is a deficient number, since it is larger than the sum of its proper divisors (320509663).

31345654313 is a wasteful number, since it uses less digits than its factorization.

31345654313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99675.

The product of its digits is 194400, while the sum is 38.

The spelling of 31345654313 in words is "thirty-one billion, three hundred forty-five million, six hundred fifty-four thousand, three hundred thirteen".