313130031313 has 16 divisors (see below), whose sum is σ = 345469505472. Its totient is φ = 281454264000.

The previous prime is 313130031307. The next prime is 313130031413.

313130031313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313130031313 - 2¹³ = 313130023121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313130031413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110103 + ... + 798988.

It is an arithmetic number, because the mean of its divisors is an integer number (21591844092).

Almost surely, 2^313130031313 is an apocalyptic number.

It is an amenable number.

313130031313 is a deficient number, since it is larger than the sum of its proper divisors (32339474159).

313130031313 is a wasteful number, since it uses less digits than its factorization.

313130031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909456.

The product of its (nonzero) digits is 729, while the sum is 22.

Multiplying 313130031313 by its sum of digits (22), we get a palindrome (6888860688886).

It can be divided in two parts, 3131300 and 31313, that multiplied together give a square (98050396900 = 313130²).

The spelling of 313130031313 in words is "three hundred thirteen billion, one hundred thirty million, thirty-one thousand, three hundred thirteen".