1310440510431 has 48 divisors (see below), whose sum is σ = 2096306503200. Its totient is φ = 783848964096.

The previous prime is 1310440510427. The next prime is 1310440510447. The reversal of 1310440510431 is 1340150440131.

1310440510431 is a `hidden beast` number, since 1 + 3 + 104 + 4 + 0 + 510 + 43 + 1 = 666.

It is not a de Polignac number, because 1310440510431 - 2² = 1310440510427 is a prime.

It is a super-2 number, since 2×1310440510431² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310440510395 and 1310440510404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310440510481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452130 + ... + 1680863.

It is an arithmetic number, because the mean of its divisors is an integer number (43673052150).

Almost surely, 2^{1310440510431} is an apocalyptic number.

1310440510431 is a deficient number, since it is larger than the sum of its proper divisors (785865992769).

1310440510431 is a wasteful number, since it uses less digits than its factorization.

1310440510431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133160 (or 2133157 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1310440510431 its reverse (1340150440131), we get a palindrome (2650590950562).

The spelling of 1310440510431 in words is "one trillion, three hundred ten billion, four hundred forty million, five hundred ten thousand, four hundred thirty-one".