113211010013 has 2 divisors, whose sum is σ = 113211010014. Its totient is φ = 113211010012.

The previous prime is 113211010007. The next prime is 113211010037. The reversal of 113211010013 is 310010112311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73700304484 + 39510705529 = 271478^2 + 198773^2 .

It is a cyclic number.

It is not a de Polignac number, because 113211010013 - 2⁶ = 113211009949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113211010013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113211030013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56605505006 + 56605505007.

It is an arithmetic number, because the mean of its divisors is an integer number (56605505007).

Almost surely, 2^113211010013 is an apocalyptic number.

It is an amenable number.

113211010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113211010013 is an equidigital number, since it uses as much as digits as its factorization.

113211010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 113211010013 its reverse (310010112311), we get a palindrome (423221122324).

The spelling of 113211010013 in words is "one hundred thirteen billion, two hundred eleven million, ten thousand, thirteen".