201123230100113 has 2 divisors, whose sum is σ = 201123230100114. Its totient is φ = 201123230100112.

The previous prime is 201123230100017. The next prime is 201123230100137. The reversal of 201123230100113 is 311001032321102.

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., 186705770497024 + 14417459603089 = 13664032^2 + 3797033^2 .

It is a cyclic number.

It is not a de Polignac number, because 201123230100113 - 2³⁰ = 201122156358289 is a prime.

It is a super-2 number, since 2×201123230100113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201123230100193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100561615050056 + 100561615050057.

It is an arithmetic number, because the mean of its divisors is an integer number (100561615050057).

Almost surely, 2^{201123230100113} is an apocalyptic number.

It is an amenable number.

201123230100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

201123230100113 is an equidigital number, since it uses as much as digits as its factorization.

201123230100113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 201123230100113 its reverse (311001032321102), we get a palindrome (512124262421215).

The spelling of 201123230100113 in words is "two hundred one trillion, one hundred twenty-three billion, two hundred thirty million, one hundred thousand, one hundred thirteen".