1313431031 has 16 divisors (see below), whose sum is σ = 1573827840. Its totient is φ = 1081998720.

The previous prime is 1313431013. The next prime is 1313431057. The reversal of 1313431031 is 1301343131.

It is not a de Polignac number, because 1313431031 - 2²⁶ = 1246322167 is a prime.

It is a super-2 number, since 2×1313431031² = 3450202146387445922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1313430994 and 1313431012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313431331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131810 + ... + 141423.

It is an arithmetic number, because the mean of its divisors is an integer number (98364240).

Almost surely, 2^1313431031 is an apocalyptic number.

1313431031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1313431031 is a deficient number, since it is larger than the sum of its proper divisors (260396809).

1313431031 is a wasteful number, since it uses less digits than its factorization.

1313431031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273286.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 1313431031 is about 36241.2890361256. The cubic root of 1313431031 is about 1095.1386106442.

Adding to 1313431031 its reverse (1301343131), we get a palindrome (2614774162).

The spelling of 1313431031 in words is "one billion, three hundred thirteen million, four hundred thirty-one thousand, thirty-one".