12313013109101 has 2 divisors, whose sum is σ = 12313013109102. Its totient is φ = 12313013109100.

The previous prime is 12313013109083. The next prime is 12313013109119. The reversal of 12313013109101 is 10190131031321.

12313013109101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (12313013109083) and next prime (12313013109119).

It can be written as a sum of positive squares in only one way, i.e., 12308175906601 + 4837202500 = 3508301^2 + 69550^2 .

It is a cyclic number.

It is not a de Polignac number, because 12313013109101 - 2²⁶ = 12312946000237 is a prime.

It is a super-2 number, since 2×12313013109101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12313013109161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156506554550 + 6156506554551.

It is an arithmetic number, because the mean of its divisors is an integer number (6156506554551).

Almost surely, 2^{12313013109101} is an apocalyptic number.

It is an amenable number.

12313013109101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313013109101 is an equidigital number, since it uses as much as digits as its factorization.

12313013109101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 12313013109101 in words is "twelve trillion, three hundred thirteen billion, thirteen million, one hundred nine thousand, one hundred one".