10003113131 has 16 divisors (see below), whose sum is σ = 11069751168. Its totient is φ = 8962862400.

The previous prime is 10003113119. The next prime is 10003113137. The reversal of 10003113131 is 13131130001.

It is a happy number.

10003113131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10003113131 is a prime.

It is a super-2 number, since 2×10003113131² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10003113137) 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, 1431476 + ... + 1438446.

It is an arithmetic number, because the mean of its divisors is an integer number (691859448).

Almost surely, 2^10003113131 is an apocalyptic number.

10003113131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10003113131 is a deficient number, since it is larger than the sum of its proper divisors (1066638037).

10003113131 is a wasteful number, since it uses less digits than its factorization.

10003113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8842.

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

Adding to 10003113131 its reverse (13131130001), we get a palindrome (23134243132).

The spelling of 10003113131 in words is "ten billion, three million, one hundred thirteen thousand, one hundred thirty-one".