10133032120 has 64 divisors (see below), whose sum is σ = 24138324000. Its totient is φ = 3817640448.

The previous prime is 10133032111. The next prime is 10133032127. The reversal of 10133032120 is 2123033101.

It is a junction number, because it is equal to n+sod(n) for n = 10133032094 and 10133032103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133032127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92946 + ... + 170014.

Almost surely, 2^10133032120 is an apocalyptic number.

10133032120 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 10133032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12069162000).

10133032120 is an abundant number, since it is smaller than the sum of its proper divisors (14005291880).

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

10133032120 is a wasteful number, since it uses less digits than its factorization.

10133032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77272 (or 77268 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10133032120 its reverse (2123033101), we get a palindrome (12256065221).

The spelling of 10133032120 in words is "ten billion, one hundred thirty-three million, thirty-two thousand, one hundred twenty".