101110313013 has 16 divisors (see below), whose sum is σ = 136756972800. Its totient is φ = 66436568064.

The previous prime is 101110312991. The next prime is 101110313039. The reversal of 101110313013 is 310313011101.

It is not a de Polignac number, because 101110313013 - 2⁵ = 101110312981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101110312983 and 101110313001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110312013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149413 + ... + 473861.

It is an arithmetic number, because the mean of its divisors is an integer number (8547310800).

Almost surely, 2^101110313013 is an apocalyptic number.

It is an amenable number.

101110313013 is a deficient number, since it is larger than the sum of its proper divisors (35646659787).

101110313013 is a wasteful number, since it uses less digits than its factorization.

101110313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325948.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 101110313013 its reverse (310313011101), we get a palindrome (411423324114).

The spelling of 101110313013 in words is "one hundred one billion, one hundred ten million, three hundred thirteen thousand, thirteen".