31314641313 has 16 divisors (see below), whose sum is σ = 41817660800. Its totient is φ = 20844055296.

The previous prime is 31314641273. The next prime is 31314641321.

31314641313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31314641313 - 2⁹ = 31314640801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31314642313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6721881 + ... + 6726537.

It is an arithmetic number, because the mean of its divisors is an integer number (2613603800).

Almost surely, 2^31314641313 is an apocalyptic number.

It is an amenable number.

31314641313 is a deficient number, since it is larger than the sum of its proper divisors (10503019487).

31314641313 is a wasteful number, since it uses less digits than its factorization.

31314641313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7656.

The product of its digits is 7776, while the sum is 30.

The spelling of 31314641313 in words is "thirty-one billion, three hundred fourteen million, six hundred forty-one thousand, three hundred thirteen".