113513450013 has 12 divisors (see below), whose sum is σ = 169617799260. Its totient is φ = 73066128576.

The previous prime is 113513450003. The next prime is 113513450027. The reversal of 113513450013 is 310054315311.

It is a happy number.

113513450013 is a `hidden beast` number, since 1 + 13 + 5 + 134 + 500 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28668246489 + 84845203524 = 169317^2 + 291282^2 .

It is not a de Polignac number, because 113513450013 - 2³⁴ = 96333580829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113513450003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217458456 + ... + 217458977.

It is an arithmetic number, because the mean of its divisors is an integer number (14134816605).

Almost surely, 2^113513450013 is an apocalyptic number.

It is an amenable number.

113513450013 is a deficient number, since it is larger than the sum of its proper divisors (56104349247).

113513450013 is a wasteful number, since it uses less digits than its factorization.

113513450013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434917468 (or 434917465 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 113513450013 its reverse (310054315311), we get a palindrome (423567765324).

The spelling of 113513450013 in words is "one hundred thirteen billion, five hundred thirteen million, four hundred fifty thousand, thirteen".