113003414240013 has 64 divisors (see below), whose sum is σ = 186532631481600. Its totient is φ = 67030417658880.

The previous prime is 113003414240011. The next prime is 113003414240053. The reversal of 113003414240013 is 310042414300311.

113003414240013 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 0 + 3 + 414 + 240 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 113003414240013 - 2¹ = 113003414240011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113003414240011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2338120 + ... + 15214257.

It is an arithmetic number, because the mean of its divisors is an integer number (2914572366900).

Almost surely, 2^{113003414240013} is an apocalyptic number.

It is an amenable number.

113003414240013 is a deficient number, since it is larger than the sum of its proper divisors (73529217241587).

113003414240013 is a wasteful number, since it uses less digits than its factorization.

113003414240013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17552859 (or 17552853 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 113003414240013 its reverse (310042414300311), we get a palindrome (423045828540324).

The spelling of 113003414240013 in words is "one hundred thirteen trillion, three billion, four hundred fourteen million, two hundred forty thousand, thirteen".