101122130013 has 32 divisors (see below), whose sum is σ = 145577502720. Its totient is φ = 62203134720.

The previous prime is 101122130009. The next prime is 101122130023. The reversal of 101122130013 is 310031221101.

It is a happy number.

It is not a de Polignac number, because 101122130013 - 2² = 101122130009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122129974 and 101122130001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122130003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1058518 + ... + 1150088.

It is an arithmetic number, because the mean of its divisors is an integer number (4549296960).

Almost surely, 2^101122130013 is an apocalyptic number.

It is an amenable number.

101122130013 is a deficient number, since it is larger than the sum of its proper divisors (44455372707).

101122130013 is a wasteful number, since it uses less digits than its factorization.

101122130013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92017.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101122130013 its reverse (310031221101), we get a palindrome (411153351114).

The spelling of 101122130013 in words is "one hundred one billion, one hundred twenty-two million, one hundred thirty thousand, thirteen".