101320303013113 has 2 divisors, whose sum is σ = 101320303013114. Its totient is φ = 101320303013112.

The previous prime is 101320303013029. The next prime is 101320303013123. The reversal of 101320303013113 is 311310303023101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93385106978409 + 7935196034704 = 9663597^2 + 2816948^2 .

It is a cyclic number.

It is not a de Polignac number, because 101320303013113 - 2²⁹ = 101319766142201 is a prime.

It is not a weakly prime, because it can be changed into another prime (101320303013123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660151506556 + 50660151506557.

It is an arithmetic number, because the mean of its divisors is an integer number (50660151506557).

Almost surely, 2^{101320303013113} is an apocalyptic number.

It is an amenable number.

101320303013113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101320303013113 is an equidigital number, since it uses as much as digits as its factorization.

101320303013113 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 22.

Adding to 101320303013113 its reverse (311310303023101), we get a palindrome (412630606036214).

The spelling of 101320303013113 in words is "one hundred one trillion, three hundred twenty billion, three hundred three million, thirteen thousand, one hundred thirteen".