100200002013 has 6 divisors (see below), whose sum is σ = 144733336254. Its totient is φ = 66800001336.

The previous prime is 100200002009. The next prime is 100200002017. The reversal of 100200002013 is 310200002001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100200002009) and next prime (100200002017).

It can be written as a sum of positive squares in only one way, i.e., 75524933124 + 24675068889 = 274818^2 + 157083^2 .

It is not a de Polignac number, because 100200002013 - 2² = 100200002009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11133333557 = 100200002013 / (1 + 0 + 0 + 2 + 0 + 0 + 0 + 0 + 2 + 0 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 100200001986 and 100200002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200002017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5566666770 + ... + 5566666787.

It is an arithmetic number, because the mean of its divisors is an integer number (24122222709).

Almost surely, 2^100200002013 is an apocalyptic number.

It is an amenable number.

100200002013 is a deficient number, since it is larger than the sum of its proper divisors (44533334241).

100200002013 is a wasteful number, since it uses less digits than its factorization.

100200002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11133333563 (or 11133333560 counting only the distinct ones).

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

Subtracting from 100200002013 its product of nonzero digits (12), we obtain a palindrome (100200002001).

Adding to 100200002013 its reverse (310200002001), we get a palindrome (410400004014).

The spelling of 100200002013 in words is "one hundred billion, two hundred million, two thousand, thirteen".