202100000013 has 48 divisors (see below), whose sum is σ = 303383873520. Its totient is φ = 129548390400.

The previous prime is 202099999973. The next prime is 202100000059. The reversal of 202100000013 is 310000001202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 98459143524 + 103640856489 = 313782^2 + 321933^2 .

It is not a de Polignac number, because 202100000013 - 2⁶ = 202099999949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 202099999950 and 202100000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100000513) 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 47 ways as a sum of consecutive naturals, for example, 10269403 + ... + 10289063.

It is an arithmetic number, because the mean of its divisors is an integer number (6320497365).

Almost surely, 2^202100000013 is an apocalyptic number.

It is an amenable number.

202100000013 is a deficient number, since it is larger than the sum of its proper divisors (101283873507).

202100000013 is a wasteful number, since it uses less digits than its factorization.

202100000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20110 (or 20107 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 202100000013 its reverse (310000001202), we get a palindrome (512100001215).

The spelling of 202100000013 in words is "two hundred two billion, one hundred million, thirteen", and thus it is an aban number.