10000113120031 has 16 divisors (see below), whose sum is σ = 10035296504640. Its totient is φ = 9965006138880.

The previous prime is 10000113119989. The next prime is 10000113120119. The reversal of 10000113120031 is 13002131100001.

It is a cyclic number.

It is not a de Polignac number, because 10000113120031 - 2³¹ = 9997965636383 is a prime.

It is a super-2 number, since 2×10000113120031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000113119993 and 10000113120020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000113123031) 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, 1073083990 + ... + 1073093308.

It is an arithmetic number, because the mean of its divisors is an integer number (627206031540).

Almost surely, 2^{10000113120031} is an apocalyptic number.

10000113120031 is a deficient number, since it is larger than the sum of its proper divisors (35183384609).

10000113120031 is an equidigital number, since it uses as much as digits as its factorization.

10000113120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13026.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10000113120031 its reverse (13002131100001), we get a palindrome (23002244220032).

The spelling of 10000113120031 in words is "ten trillion, one hundred thirteen million, one hundred twenty thousand, thirty-one".