1313207023131 has 64 divisors (see below), whose sum is σ = 1980456791040. Its totient is φ = 859907819520.

The previous prime is 1313207023123. The next prime is 1313207023181.

It is a happy number.

1313207023131 is a `hidden beast` number, since 1 + 313 + 20 + 70 + 231 + 31 = 666.

1313207023131 is nontrivially palindromic in base 10.

1313207023131 is a nontrivial binomial coefficient, being equal to C(1620622, 2).

It is not a de Polignac number, because 1313207023131 - 2³ = 1313207023123 is a prime.

It is a super-2 number, since 2×1313207023131² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1313207023095 and 1313207023104.

It is not an unprimeable number, because it can be changed into a prime (1313207023181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173402661 + ... + 173410233.

It is an arithmetic number, because the mean of its divisors is an integer number (30944637360).

Almost surely, 2^{1313207023131} is an apocalyptic number.

1313207023131 is the 1620621-st triangular number and also the 810311-st hexagonal number.

1313207023131 is a deficient number, since it is larger than the sum of its proper divisors (667249767909).

1313207023131 is a wasteful number, since it uses less digits than its factorization.

1313207023131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8193 (or 8187 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 1313207023131 in words is "one trillion, three hundred thirteen billion, two hundred seven million, twenty-three thousand, one hundred thirty-one".