101122311013 has 4 divisors (see below), whose sum is σ = 101181483180. Its totient is φ = 101063138848.

The previous prime is 101122310921. The next prime is 101122311149. The reversal of 101122311013 is 310113221101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310113221101 = 19 ⋅16321748479.

It can be written as a sum of positive squares in 2 ways, for example, as 56635908289 + 44486402724 = 237983^2 + 210918^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101122311013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122311413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29583520 + ... + 29586937.

It is an arithmetic number, because the mean of its divisors is an integer number (25295370795).

Almost surely, 2^101122311013 is an apocalyptic number.

It is an amenable number.

101122311013 is a deficient number, since it is larger than the sum of its proper divisors (59172167).

101122311013 is an equidigital number, since it uses as much as digits as its factorization.

101122311013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59172166.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101122311013 its reverse (310113221101), we get a palindrome (411235532114).

The spelling of 101122311013 in words is "one hundred one billion, one hundred twenty-two million, three hundred eleven thousand, thirteen".