13283141375520 has 144 divisors (see below), whose sum is σ = 46553820669720. Its totient is φ = 3446436667392.

The previous prime is 13283141375503. The next prime is 13283141375587. The reversal of 13283141375520 is 2557314138231.

13283141375520 is a `hidden beast` number, since 1 + 3 + 2 + 83 + 1 + 4 + 13 + 7 + 552 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12996226880784 + 286914494736 = 3605028^2 + 535644^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 124600825 + ... + 124707384.

Almost surely, 2^{13283141375520} is an apocalyptic number.

13283141375520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13283141375520 is an abundant number, since it is smaller than the sum of its proper divisors (33270679294200).

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

13283141375520 is a wasteful number, since it uses less digits than its factorization.

13283141375520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249308267 (or 249308256 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 13283141375520 in words is "thirteen trillion, two hundred eighty-three billion, one hundred forty-one million, three hundred seventy-five thousand, five hundred twenty".