1310431957081 has 27 divisors (see below), whose sum is σ = 1430047620759. Its totient is φ = 1200274675392.

The previous prime is 1310431957061. The next prime is 1310431957103. The reversal of 1310431957081 is 1807591340131.

The square root of 1310431957081 is 1144741.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 160433092681 + 1149998864400 = 400541^2 + 1072380^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1310431957081 is a prime.

It is a super-2 number, since 2×1310431957081² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1310431957061) 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 26 ways as a sum of consecutive naturals, for example, 2574522255 + ... + 2574522763.

Almost surely, 2^{1310431957081} is an apocalyptic number.

1310431957081 is the 1144741-st square number.

1310431957081 is the 572371-st centered octagonal number.

It is an amenable number.

1310431957081 is a deficient number, since it is larger than the sum of its proper divisors (119615663678).

1310431957081 is an frugal number, since it uses more digits than its factorization.

1310431957081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The spelling of 1310431957081 in words is "one trillion, three hundred ten billion, four hundred thirty-one million, nine hundred fifty-seven thousand, eighty-one".