1313883131 has 16 divisors (see below), whose sum is σ = 1522216800. Its totient is φ = 1120788480.

The previous prime is 1313883113. The next prime is 1313883133.

1313883131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1313883131 - 2²² = 1309688827 is a prime.

It is a super-2 number, since 2×1313883131² = 3452577763852726322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313883133) 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, 52595 + ... + 73443.

It is an arithmetic number, because the mean of its divisors is an integer number (95138550).

Almost surely, 2^1313883131 is an apocalyptic number.

1313883131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1313883131 is a deficient number, since it is larger than the sum of its proper divisors (208333669).

1313883131 is a wasteful number, since it uses less digits than its factorization.

1313883131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21214.

The product of its digits is 5184, while the sum is 32.

The square root of 1313883131 is about 36247.5258603949. The cubic root of 1313883131 is about 1095.2642498687.

It can be divided in two parts, 13138 and 83131, that added together give a palindrome (96269).

The spelling of 1313883131 in words is "one billion, three hundred thirteen million, eight hundred eighty-three thousand, one hundred thirty-one".