101023210023113 has 6 divisors (see below), whose sum is σ = 117516795333066. Its totient is φ = 86591322876912.

The previous prime is 101023210023089. The next prime is 101023210023149. The reversal of 101023210023113 is 311320012320101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70082882888704 + 30940327134409 = 8371552^2 + 5562403^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101023210023113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101023210026113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1030849081820 + ... + 1030849081917.

It is an arithmetic number, because the mean of its divisors is an integer number (19586132555511).

Almost surely, 2^{101023210023113} is an apocalyptic number.

It is an amenable number.

101023210023113 is a deficient number, since it is larger than the sum of its proper divisors (16493585309953).

101023210023113 is an equidigital number, since it uses as much as digits as its factorization.

101023210023113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061698163751 (or 2061698163744 counting only the distinct ones).

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

Adding to 101023210023113 its reverse (311320012320101), we get a palindrome (412343222343214).

The spelling of 101023210023113 in words is "one hundred one trillion, twenty-three billion, two hundred ten million, twenty-three thousand, one hundred thirteen".