113013312001 has 2 divisors, whose sum is σ = 113013312002. Its totient is φ = 113013312000.

The previous prime is 113013311993. The next prime is 113013312029. The reversal of 113013312001 is 100213310311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112896672001 + 116640000 = 336001^2 + 10800^2 .

It is a cyclic number.

It is not a de Polignac number, because 113013312001 - 2³ = 113013311993 is a prime.

It is not a weakly prime, because it can be changed into another prime (113013313001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56506656000 + 56506656001.

It is an arithmetic number, because the mean of its divisors is an integer number (56506656001).

Almost surely, 2^113013312001 is an apocalyptic number.

It is an amenable number.

113013312001 is a deficient number, since it is larger than the sum of its proper divisors (1).

113013312001 is an equidigital number, since it uses as much as digits as its factorization.

113013312001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 113013312001 its reverse (100213310311), we get a palindrome (213226622312).

The spelling of 113013312001 in words is "one hundred thirteen billion, thirteen million, three hundred twelve thousand, one".