101311200013 has 8 divisors (see below), whose sum is σ = 101584135800. Its totient is φ = 101038602240.

The previous prime is 101311199971. The next prime is 101311200031. The reversal of 101311200013 is 310002113101.

It can be written as a sum of positive squares in 4 ways, for example, as 96439439209 + 4871760804 = 310547^2 + 69798^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101311200013 - 2³³ = 92721265421 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101311199966 and 101311200002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311260013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521583 + ... + 688963.

It is an arithmetic number, because the mean of its divisors is an integer number (12698016975).

Almost surely, 2^101311200013 is an apocalyptic number.

It is an amenable number.

101311200013 is a deficient number, since it is larger than the sum of its proper divisors (272935787).

101311200013 is a wasteful number, since it uses less digits than its factorization.

101311200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169007.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101311200013 its reverse (310002113101), we get a palindrome (411313313114).

The spelling of 101311200013 in words is "one hundred one billion, three hundred eleven million, two hundred thousand, thirteen".