13133897280 has 672 divisors, whose sum is σ = 54705991680. Its totient is φ = 2994195456.

The previous prime is 13133897279. The next prime is 13133897303. The reversal of 13133897280 is 8279833131.

It is a happy number.

13133897280 is a `hidden beast` number, since 1 + 31 + 338 + 9 + 7 + 280 = 666.

13133897280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 34291969 + ... + 34292351.

Almost surely, 2^13133897280 is an apocalyptic number.

13133897280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13133897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27352995840).

13133897280 is an abundant number, since it is smaller than the sum of its proper divisors (41572094400).

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

13133897280 is an frugal number, since it uses more digits than its factorization.

13133897280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13133897280 in words is "thirteen billion, one hundred thirty-three million, eight hundred ninety-seven thousand, two hundred eighty".