31145114013 has 32 divisors (see below), whose sum is σ = 47091811200. Its totient is φ = 18150967296.

The previous prime is 31145114003. The next prime is 31145114023. The reversal of 31145114013 is 31041154113.

It is an interprime number because it is at equal distance from previous prime (31145114003) and next prime (31145114023).

It is not a de Polignac number, because 31145114013 - 2²⁰ = 31144065437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31145114003) 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 31 ways as a sum of consecutive naturals, for example, 2733793 + ... + 2745161.

It is an arithmetic number, because the mean of its divisors is an integer number (1471619100).

Almost surely, 2^31145114013 is an apocalyptic number.

It is an amenable number.

31145114013 is a deficient number, since it is larger than the sum of its proper divisors (15946697187).

31145114013 is a wasteful number, since it uses less digits than its factorization.

31145114013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15101.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 31145114013 its reverse (31041154113), we get a palindrome (62186268126).

The spelling of 31145114013 in words is "thirty-one billion, one hundred forty-five million, one hundred fourteen thousand, thirteen".