13005564121 has 24 divisors (see below), whose sum is σ = 15040036872. Its totient is φ = 11222956800.

The previous prime is 13005564119. The next prime is 13005564167. The reversal of 13005564121 is 12146550031.

It can be written as a sum of positive squares in 4 ways, for example, as 3592683721 + 9412880400 = 59939^2 + 97020^2 .

It is not a de Polignac number, because 13005564121 - 2¹ = 13005564119 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13005564121.

It is not an unprimeable number, because it can be changed into a prime (13005564101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148131 + ... + 218983.

It is an arithmetic number, because the mean of its divisors is an integer number (626668203).

Almost surely, 2^13005564121 is an apocalyptic number.

13005564121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13005564121 is a deficient number, since it is larger than the sum of its proper divisors (2034472751).

13005564121 is a wasteful number, since it uses less digits than its factorization.

13005564121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70953 (or 70942 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 13005564121 in words is "thirteen billion, five million, five hundred sixty-four thousand, one hundred twenty-one".