120102010000013 has 8 divisors (see below), whose sum is σ = 121924044626040. Its totient is φ = 118290477015040.

The previous prime is 120102009999973. The next prime is 120102010000061. The reversal of 120102010000013 is 310000010201021.

It can be written as a sum of positive squares in 4 ways, for example, as 75058623395044 + 45043386604969 = 8663638^2 + 6711437^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120102010000013 - 2⁸ = 120102009999757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120102009999949 and 120102010000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120102010000613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2625387218 + ... + 2625432963.

It is an arithmetic number, because the mean of its divisors is an integer number (15240505578255).

Almost surely, 2^{120102010000013} is an apocalyptic number.

It is an amenable number.

120102010000013 is a deficient number, since it is larger than the sum of its proper divisors (1822034626027).

120102010000013 is an equidigital number, since it uses as much as digits as its factorization.

120102010000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250820527.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 120102010000013 its reverse (310000010201021), we get a palindrome (430102020201034).

The spelling of 120102010000013 in words is "one hundred twenty trillion, one hundred two billion, ten million, thirteen", and thus it is an aban number.