13001310003131 has 4 divisors (see below), whose sum is σ = 13685589477000. Its totient is φ = 12317030529264.

The previous prime is 13001310003127. The next prime is 13001310003133. The reversal of 13001310003131 is 13130001310031.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 13001310003131 - 2² = 13001310003127 is a prime.

It is a super-2 number, since 2×13001310003131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13001310003133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 342139736906 + ... + 342139736943.

It is an arithmetic number, because the mean of its divisors is an integer number (3421397369250).

Almost surely, 2^{13001310003131} is an apocalyptic number.

13001310003131 is a deficient number, since it is larger than the sum of its proper divisors (684279473869).

13001310003131 is an equidigital number, since it uses as much as digits as its factorization.

13001310003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684279473868.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 13001310003131 its reverse (13130001310031), we get a palindrome (26131311313162).

The spelling of 13001310003131 in words is "thirteen trillion, one billion, three hundred ten million, three thousand, one hundred thirty-one".