13275159333120 has 864 divisors, whose sum is σ = 48954016500480. Its totient is φ = 3311876505600.

The previous prime is 13275159333113. The next prime is 13275159333167. The reversal of 13275159333120 is 2133395157231.

13275159333120 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 5 + 1 + 593 + 3 + 31 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14966357317 + ... + 14966358203.

It is an arithmetic number, because the mean of its divisors is an integer number (56659741320).

Almost surely, 2^{13275159333120} is an apocalyptic number.

13275159333120 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 13275159333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24477008250240).

13275159333120 is an abundant number, since it is smaller than the sum of its proper divisors (35678857167360).

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

13275159333120 is a wasteful number, since it uses less digits than its factorization.

13275159333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 13275159333120 in words is "thirteen trillion, two hundred seventy-five billion, one hundred fifty-nine million, three hundred thirty-three thousand, one hundred twenty".