200102000000013 has 48 divisors (see below), whose sum is σ = 304763164305600. Its totient is φ = 126166667489280.

The previous prime is 200102000000011. The next prime is 200102000000057. The reversal of 200102000000013 is 310000000201002.

It is a happy number.

It is not a de Polignac number, because 200102000000013 - 2¹ = 200102000000011 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 = 200101999999941 and 200102000000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200102000000011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245592006 + ... + 246405432.

It is an arithmetic number, because the mean of its divisors is an integer number (6349232589700).

Almost surely, 2^{200102000000013} is an apocalyptic number.

It is an amenable number.

200102000000013 is a deficient number, since it is larger than the sum of its proper divisors (104661164305587).

200102000000013 is a wasteful number, since it uses less digits than its factorization.

200102000000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815882 (or 815879 counting only the distinct ones).

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

Adding to 200102000000013 its reverse (310000000201002), we get a palindrome (510102000201015).

The spelling of 200102000000013 in words is "two hundred trillion, one hundred two billion, thirteen", and thus it is an aban number.