113113001001013 has 8 divisors (see below), whose sum is σ = 123182697720600. Its totient is φ = 103238832373248.

The previous prime is 113113001000977. The next prime is 113113001001017. The reversal of 113113001001013 is 310100100311311.

It can be written as a sum of positive squares in 4 ways, for example, as 614692064529 + 112498308936484 = 784023^2 + 10606522^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 113113001001013 - 2⁹ = 113113001000501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113113001001017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48882021748 + ... + 48882024061.

It is an arithmetic number, because the mean of its divisors is an integer number (15397837215075).

Almost surely, 2^{113113001001013} is an apocalyptic number.

113113001001013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113113001001013 is a deficient number, since it is larger than the sum of its proper divisors (10069696719587).

113113001001013 is an equidigital number, since it uses as much as digits as its factorization.

113113001001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97764045911.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 113113001001013 its reverse (310100100311311), we get a palindrome (423213101312324).

The spelling of 113113001001013 in words is "one hundred thirteen trillion, one hundred thirteen billion, one million, one thousand, thirteen".