101111403013 has 16 divisors (see below), whose sum is σ = 109109165616. Its totient is φ = 93342412800.

The previous prime is 101111403007. The next prime is 101111403023. The reversal of 101111403013 is 310304111101.

It can be written as a sum of positive squares in 8 ways, for example, as 9346635684 + 91764767329 = 96678^2 + 302927^2 .

It is not a de Polignac number, because 101111403013 - 2²¹ = 101109305861 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 (101111403023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3771745 + ... + 3798457.

It is an arithmetic number, because the mean of its divisors is an integer number (6819322851).

Almost surely, 2^101111403013 is an apocalyptic number.

It is an amenable number.

101111403013 is a deficient number, since it is larger than the sum of its proper divisors (7997762603).

101111403013 is a wasteful number, since it uses less digits than its factorization.

101111403013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30984.

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

Adding to 101111403013 its reverse (310304111101), we get a palindrome (411415514114).

The spelling of 101111403013 in words is "one hundred one billion, one hundred eleven million, four hundred three thousand, thirteen".