1313003311131 has 32 divisors (see below), whose sum is σ = 1783377388800. Its totient is φ = 859034436480.

The previous prime is 1313003311129. The next prime is 1313003311171. The reversal of 1313003311131 is 1311133003131.

It is not a de Polignac number, because 1313003311131 - 2¹ = 1313003311129 is a prime.

It is a super-2 number, since 2×1313003311131² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313003311098 and 1313003311107.

It is not an unprimeable number, because it can be changed into a prime (1313003311111) 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 31 ways as a sum of consecutive naturals, for example, 428944341 + ... + 428947401.

It is an arithmetic number, because the mean of its divisors is an integer number (55730543400).

Almost surely, 2^{1313003311131} is an apocalyptic number.

1313003311131 is a deficient number, since it is larger than the sum of its proper divisors (470374077669).

1313003311131 is a wasteful number, since it uses less digits than its factorization.

1313003311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 1313003311131 its reverse (1311133003131), we get a palindrome (2624136314262).

The spelling of 1313003311131 in words is "one trillion, three hundred thirteen billion, three million, three hundred eleven thousand, one hundred thirty-one".