10001030331113 has 16 divisors (see below), whose sum is σ = 10661973196800. Its totient is φ = 9353574331920.

The previous prime is 10001030331079. The next prime is 10001030331157. The reversal of 10001030331113 is 31113303010001.

10001030331113 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 not a de Polignac number, because 10001030331113 - 2²⁰ = 10001029282537 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001030331091 and 10001030331100.

It is not an unprimeable number, because it can be changed into a prime (10001030931113) 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, 11887970 + ... + 12701412.

It is an arithmetic number, because the mean of its divisors is an integer number (666373324800).

Almost surely, 2^{10001030331113} is an apocalyptic number.

It is an amenable number.

10001030331113 is a deficient number, since it is larger than the sum of its proper divisors (660942865687).

10001030331113 is an equidigital number, since it uses as much as digits as its factorization.

10001030331113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821732.

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

Adding to 10001030331113 its reverse (31113303010001), we get a palindrome (41114333341114).

The spelling of 10001030331113 in words is "ten trillion, one billion, thirty million, three hundred thirty-one thousand, one hundred thirteen".