13133526120 has 768 divisors, whose sum is σ = 54486432000. Its totient is φ = 2694021120.

The previous prime is 13133526113. The next prime is 13133526139. The reversal of 13133526120 is 2162533131.

13133526120 is a `hidden beast` number, since 1 + 3 + 13 + 3 + 526 + 120 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37631706 + ... + 37632054.

It is an arithmetic number, because the mean of its divisors is an integer number (70945875).

Almost surely, 2^13133526120 is an apocalyptic number.

13133526120 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 13133526120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27243216000).

13133526120 is an abundant number, since it is smaller than the sum of its proper divisors (41352905880).

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

13133526120 is a wasteful number, since it uses less digits than its factorization.

13133526120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 13133526120 in words is "thirteen billion, one hundred thirty-three million, five hundred twenty-six thousand, one hundred twenty".