101113131013 has 4 divisors (see below), whose sum is σ = 101320756000. Its totient is φ = 100905506028.

The previous prime is 101113130953. The next prime is 101113131019. The reversal of 101113131013 is 310131311101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101113131013 - 2⁹ = 101113130501 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 (101113131019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103811763 + ... + 103812736.

It is an arithmetic number, because the mean of its divisors is an integer number (25330189000).

Almost surely, 2^101113131013 is an apocalyptic number.

It is an amenable number.

101113131013 is a deficient number, since it is larger than the sum of its proper divisors (207624987).

101113131013 is an equidigital number, since it uses as much as digits as its factorization.

101113131013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207624986.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 101113131013 its reverse (310131311101), we get a palindrome (411244442114).

The spelling of 101113131013 in words is "one hundred one billion, one hundred thirteen million, one hundred thirty-one thousand, thirteen".