10102004040013 has 4 divisors (see below), whose sum is σ = 10450349006940. Its totient is φ = 9753659073088.

The previous prime is 10102004039993. The next prime is 10102004040017. The reversal of 10102004040013 is 31004040020101.

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 7154196621289 + 2947807418724 = 2674733^2 + 1716918^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102004040013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102004040017) 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, 174172483420 + ... + 174172483477.

It is an arithmetic number, because the mean of its divisors is an integer number (2612587251735).

Almost surely, 2^{10102004040013} is an apocalyptic number.

It is an amenable number.

10102004040013 is a deficient number, since it is larger than the sum of its proper divisors (348344966927).

10102004040013 is an equidigital number, since it uses as much as digits as its factorization.

10102004040013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348344966926.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10102004040013 its reverse (31004040020101), we get a palindrome (41106044060114).

The spelling of 10102004040013 in words is "ten trillion, one hundred two billion, four million, forty thousand, thirteen".