102104413020013 has 2 divisors, whose sum is σ = 102104413020014. Its totient is φ = 102104413020012.

The previous prime is 102104413019981. The next prime is 102104413020047. The reversal of 102104413020013 is 310020314401201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67592289431209 + 34512123588804 = 8221453^2 + 5874702^2 .

It is an emirp because it is prime and its reverse (310020314401201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102104413020013 - 2⁵ = 102104413019981 is a prime.

It is a super-2 number, since 2×102104413020013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102104413020053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51052206510006 + 51052206510007.

It is an arithmetic number, because the mean of its divisors is an integer number (51052206510007).

Almost surely, 2^{102104413020013} is an apocalyptic number.

It is an amenable number.

102104413020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102104413020013 is an equidigital number, since it uses as much as digits as its factorization.

102104413020013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 102104413020013 its reverse (310020314401201), we get a palindrome (412124727421214).

The spelling of 102104413020013 in words is "one hundred two trillion, one hundred four billion, four hundred thirteen million, twenty thousand, thirteen".