13005132990 has 32 divisors (see below), whose sum is σ = 31215697056. Its totient is φ = 3467660160.

The previous prime is 13005132937. The next prime is 13005133013. The reversal of 13005132990 is 9923150031.

13005132990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362460 + ... + 396720.

It is an arithmetic number, because the mean of its divisors is an integer number (975490533).

Almost surely, 2^13005132990 is an apocalyptic number.

13005132990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13005132990 is an abundant number, since it is smaller than the sum of its proper divisors (18210564066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13005132990 is a wasteful number, since it uses less digits than its factorization.

13005132990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46924.

The product of its (nonzero) digits is 7290, while the sum is 33.

The spelling of 13005132990 in words is "thirteen billion, five million, one hundred thirty-two thousand, nine hundred ninety".