31349766794313 has 32 divisors (see below), whose sum is σ = 45980524259712. Its totient is φ = 18841786675200.

The previous prime is 31349766794299. The next prime is 31349766794329.

31349766794313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31349766794313 - 2³² = 31345471827017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31349766794383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5744818 + ... + 9782763.

It is an arithmetic number, because the mean of its divisors is an integer number (1436891383116).

Almost surely, 2^{31349766794313} is an apocalyptic number.

31349766794313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31349766794313 is a deficient number, since it is larger than the sum of its proper divisors (14630757465399).

31349766794313 is a wasteful number, since it uses less digits than its factorization.

31349766794313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15528105.

The product of its digits is 185177664, while the sum is 66.

The spelling of 31349766794313 in words is "thirty-one trillion, three hundred forty-nine billion, seven hundred sixty-six million, seven hundred ninety-four thousand, three hundred thirteen".