102000002200313 has 16 divisors (see below), whose sum is σ = 120360322314240. Its totient is φ = 84588241885200.

The previous prime is 102000002200279. The next prime is 102000002200321. The reversal of 102000002200313 is 313002200000201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102000002200313 - 2¹⁶ = 102000002134777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102000002260313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54790343 + ... + 56621388.

It is an arithmetic number, because the mean of its divisors is an integer number (7522520144640).

Almost surely, 2^{102000002200313} is an apocalyptic number.

It is an amenable number.

102000002200313 is a deficient number, since it is larger than the sum of its proper divisors (18360320113927).

102000002200313 is a wasteful number, since it uses less digits than its factorization.

102000002200313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111415988.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102000002200313 its reverse (313002200000201), we get a palindrome (415002202200514).

The spelling of 102000002200313 in words is "one hundred two trillion, two million, two hundred thousand, three hundred thirteen".