13213255025101 has 2 divisors, whose sum is σ = 13213255025102. Its totient is φ = 13213255025100.

The previous prime is 13213255025063. The next prime is 13213255025107. The reversal of 13213255025101 is 10152055231231.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8309532655876 + 4903722369225 = 2882626^2 + 2214435^2 .

It is a cyclic number.

It is not a de Polignac number, because 13213255025101 - 2²³ = 13213246636493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13213255025107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6606627512550 + 6606627512551.

It is an arithmetic number, because the mean of its divisors is an integer number (6606627512551).

Almost surely, 2^{13213255025101} is an apocalyptic number.

It is an amenable number.

13213255025101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13213255025101 is an equidigital number, since it uses as much as digits as its factorization.

13213255025101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 13213255025101 in words is "thirteen trillion, two hundred thirteen billion, two hundred fifty-five million, twenty-five thousand, one hundred one".