10104120013 has 4 divisors (see below), whose sum is σ = 10881360028. Its totient is φ = 9326880000.

The previous prime is 10104120007. The next prime is 10104120023. The reversal of 10104120013 is 31002140101.

10104120013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4810393449 + 5293726564 = 69357^2 + 72758^2 .

It is a cyclic number.

It is not a de Polignac number, because 10104120013 - 2²⁵ = 10070565581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 777240001 = 10104120013 / (1 + 0 + 1 + 0 + 4 + 1 + 2 + 0 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10104119975 and 10104120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104120023) 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, 388619988 + ... + 388620013.

It is an arithmetic number, because the mean of its divisors is an integer number (2720340007).

Almost surely, 2^10104120013 is an apocalyptic number.

10104120013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10104120013 is a deficient number, since it is larger than the sum of its proper divisors (777240015).

10104120013 is an equidigital number, since it uses as much as digits as its factorization.

10104120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777240014.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10104120013 its reverse (31002140101), we get a palindrome (41106260114).

The spelling of 10104120013 in words is "ten billion, one hundred four million, one hundred twenty thousand, thirteen".