313113133131 has 16 divisors (see below), whose sum is σ = 421700932128. Its totient is φ = 206634528000.

The previous prime is 313113133127. The next prime is 313113133133. The reversal of 313113133131 is 131331311313.

It is not a de Polignac number, because 313113133131 - 2² = 313113133127 is a prime.

It is a super-2 number, since 2×313113133131² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (313113133133) 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, 1475271 + ... + 1674111.

It is an arithmetic number, because the mean of its divisors is an integer number (26356308258).

Almost surely, 2^313113133131 is an apocalyptic number.

313113133131 is a deficient number, since it is larger than the sum of its proper divisors (108587798997).

313113133131 is a wasteful number, since it uses less digits than its factorization.

313113133131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204142.

The product of its digits is 729, while the sum is 24.

Adding to 313113133131 its reverse (131331311313), we get a palindrome (444444444444).

The spelling of 313113133131 in words is "three hundred thirteen billion, one hundred thirteen million, one hundred thirty-three thousand, one hundred thirty-one".