101311113101 has 16 divisors (see below), whose sum is σ = 111045178368. Its totient is φ = 91664650800.

The previous prime is 101311113083. The next prime is 101311113121.

101311113101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101311113101 is a prime.

It is a super-2 number, since 2×101311113101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311113121) 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, 11139566 + ... + 11148656.

It is an arithmetic number, because the mean of its divisors is an integer number (6940323648).

Almost surely, 2^101311113101 is an apocalyptic number.

101311113101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101311113101 is a deficient number, since it is larger than the sum of its proper divisors (9734065267).

101311113101 is a wasteful number, since it uses less digits than its factorization.

101311113101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13792.

The product of its (nonzero) digits is 9, while the sum is 14.

It can be divided in two parts, 101311 and 113101, that added together give a palindrome (214412).

The spelling of 101311113101 in words is "one hundred one billion, three hundred eleven million, one hundred thirteen thousand, one hundred one".