10001131313 has 16 divisors (see below), whose sum is σ = 10397825280. Its totient is φ = 9608032896.

The previous prime is 10001131291. The next prime is 10001131379. The reversal of 10001131313 is 31313110001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10001131313 - 2⁸ = 10001131057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001131513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6565970 + ... + 6567492.

It is an arithmetic number, because the mean of its divisors is an integer number (649864080).

Almost surely, 2^10001131313 is an apocalyptic number.

It is an amenable number.

10001131313 is a deficient number, since it is larger than the sum of its proper divisors (396693967).

10001131313 is a wasteful number, since it uses less digits than its factorization.

10001131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10001131313 its reverse (31313110001), we get a palindrome (41314241314).

The spelling of 10001131313 in words is "ten billion, one million, one hundred thirty-one thousand, three hundred thirteen".