1310123131321 has 16 divisors (see below), whose sum is σ = 1330494897600. Its totient is φ = 1289911272768.

The previous prime is 1310123131309. The next prime is 1310123131337. The reversal of 1310123131321 is 1231313210131.

It is a cyclic number.

It is not a de Polignac number, because 1310123131321 - 2⁷ = 1310123131193 is a prime.

It is a super-2 number, since 2×1310123131321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1310123131292 and 1310123131301.

It is not an unprimeable number, because it can be changed into a prime (1310123131301) 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 15 ways as a sum of consecutive naturals, for example, 37300450 + ... + 37335556.

It is an arithmetic number, because the mean of its divisors is an integer number (83155931100).

Almost surely, 2^{1310123131321} is an apocalyptic number.

It is an amenable number.

1310123131321 is a deficient number, since it is larger than the sum of its proper divisors (20371766279).

1310123131321 is a wasteful number, since it uses less digits than its factorization.

1310123131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37368.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1310123131321 its reverse (1231313210131), we get a palindrome (2541436341452).

The spelling of 1310123131321 in words is "one trillion, three hundred ten billion, one hundred twenty-three million, one hundred thirty-one thousand, three hundred twenty-one".