10133625081120 has 192 divisors, whose sum is σ = 33687356976000. Its totient is φ = 2553491644416.

The previous prime is 10133625081079. The next prime is 10133625081131. The reversal of 10133625081120 is 2118052633101.

10133625081120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2119476 + ... + 4975884.

It is an arithmetic number, because the mean of its divisors is an integer number (175454984250).

Almost surely, 2^{10133625081120} is an apocalyptic number.

10133625081120 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 10133625081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16843678488000).

10133625081120 is an abundant number, since it is smaller than the sum of its proper divisors (23553731894880).

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

10133625081120 is a wasteful number, since it uses less digits than its factorization.

10133625081120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856835 (or 2856827 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 10133625081120 in words is "ten trillion, one hundred thirty-three billion, six hundred twenty-five million, eighty-one thousand, one hundred twenty".