1310440131 has 48 divisors (see below), whose sum is σ = 2541477120. Its totient is φ = 628378560.

The previous prime is 1310440097. The next prime is 1310440133.

1310440131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1310440131 - 2⁶ = 1310440067 is a prime.

It is a super-2 number, since 2×1310440131² = 3434506673870594322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1310440133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63721 + ... + 81738.

It is an arithmetic number, because the mean of its divisors is an integer number (52947440).

Almost surely, 2^1310440131 is an apocalyptic number.

1310440131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1310440131 is a deficient number, since it is larger than the sum of its proper divisors (1231036989).

1310440131 is a wasteful number, since it uses less digits than its factorization.

1310440131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145496 (or 145493 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1310440131 is about 36200.0018093922. The cubic root of 1310440131 is about 1094.3067081966.

It can be divided in two parts, 13104 and 40131, that multiplied together give a square (525876624 = 22932²).

The spelling of 1310440131 in words is "one billion, three hundred ten million, four hundred forty thousand, one hundred thirty-one".