102000312100013 has 4 divisors (see below), whose sum is σ = 102138336880320. Its totient is φ = 101862287319708.

The previous prime is 102000312099977. The next prime is 102000312100019. The reversal of 102000312100013 is 310001213000201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 102000312100013 - 2⁸ = 102000312099757 is a prime.

It is a super-2 number, since 2×102000312100013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000312100019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69012389045 + ... + 69012390522.

It is an arithmetic number, because the mean of its divisors is an integer number (25534584220080).

Almost surely, 2^{102000312100013} is an apocalyptic number.

It is an amenable number.

102000312100013 is a deficient number, since it is larger than the sum of its proper divisors (138024780307).

102000312100013 is an equidigital number, since it uses as much as digits as its factorization.

102000312100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138024780306.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 102000312100013 its reverse (310001213000201), we get a palindrome (412001525100214).

The spelling of 102000312100013 in words is "one hundred two trillion, three hundred twelve million, one hundred thousand, thirteen".