8133109120 has 256 divisors, whose sum is σ = 21181564800. Its totient is φ = 2978021376.

The previous prime is 8133109099. The next prime is 8133109177. The reversal of 8133109120 is 219013318.

It is a super-2 number, since 2×8133109120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59365692 + ... + 59365828.

Almost surely, 2^8133109120 is an apocalyptic number.

8133109120 is a gapful number since it is divisible by the number (80) 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 8133109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10590782400).

8133109120 is an abundant number, since it is smaller than the sum of its proper divisors (13048455680).

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

8133109120 is a wasteful number, since it uses less digits than its factorization.

8133109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 8133109120 is about 90183.7519734015. The cubic root of 8133109120 is about 2011.0314681506.

The spelling of 8133109120 in words is "eight billion, one hundred thirty-three million, one hundred nine thousand, one hundred twenty".