113007510813013 has 2 divisors, whose sum is σ = 113007510813014. Its totient is φ = 113007510813012.

The previous prime is 113007510813011. The next prime is 113007510813031. The reversal of 113007510813013 is 310318015700311.

Together with next prime (113007510813031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112982826318244 + 24684494769 = 10629338^2 + 157113^2 .

It is a cyclic number.

It is not a de Polignac number, because 113007510813013 - 2¹ = 113007510813011 is a prime.

Together with 113007510813011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 113007510813013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113007510813011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56503755406506 + 56503755406507.

It is an arithmetic number, because the mean of its divisors is an integer number (56503755406507).

Almost surely, 2^{113007510813013} is an apocalyptic number.

It is an amenable number.

113007510813013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113007510813013 is an equidigital number, since it uses as much as digits as its factorization.

113007510813013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 34.

The spelling of 113007510813013 in words is "one hundred thirteen trillion, seven billion, five hundred ten million, eight hundred thirteen thousand, thirteen".