31304344340313 has 96 divisors (see below), whose sum is σ = 51625709396352. Its totient is φ = 18108257356800.

The previous prime is 31304344340273. The next prime is 31304344340329.

31304344340313 is a `hidden beast` number, since 3 + 1 + 304 + 3 + 4 + 4 + 34 + 0 + 313 = 666.

31304344340313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31304344340313 - 2⁶ = 31304344340249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31304344340413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1764908781 + ... + 1764926517.

It is an arithmetic number, because the mean of its divisors is an integer number (537767806212).

Almost surely, 2^{31304344340313} is an apocalyptic number.

31304344340313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31304344340313 is a deficient number, since it is larger than the sum of its proper divisors (20321365056039).

31304344340313 is a wasteful number, since it uses less digits than its factorization.

31304344340313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26935 (or 26932 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 3130434 and 4340313, that added together give a palindrome (7470747).

The spelling of 31304344340313 in words is "thirty-one trillion, three hundred four billion, three hundred forty-four million, three hundred forty thousand, three hundred thirteen".