9900200013 has 32 divisors (see below), whose sum is σ = 14762563200. Its totient is φ = 5849395200.

The previous prime is 9900199999. The next prime is 9900200071. The reversal of 9900200013 is 3100020099.

It is a happy number.

It is not a de Polignac number, because 9900200013 - 2²² = 9896005709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9900240013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3122493 + ... + 3125661.

It is an arithmetic number, because the mean of its divisors is an integer number (461330100).

Almost surely, 2^9900200013 is an apocalyptic number.

It is an amenable number.

9900200013 is a deficient number, since it is larger than the sum of its proper divisors (4862363187).

9900200013 is a wasteful number, since it uses less digits than its factorization.

9900200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533.

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 9900200013 is about 99499.7488087282. The cubic root of 9900200013 is about 2147.2436293171.

The spelling of 9900200013 in words is "nine billion, nine hundred million, two hundred thousand, thirteen".