10133032320 has 192 divisors, whose sum is σ = 35128922400. Its totient is φ = 2691465216.

The previous prime is 10133032319. The next prime is 10133032333. The reversal of 10133032320 is 2323033101.

10133032320 is a `hidden beast` number, since 10 + 1 + 330 + 3 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10133032293 and 10133032302.

It is a congruent number.

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, 1511536 + ... + 1518224.

Almost surely, 2^10133032320 is an apocalyptic number.

10133032320 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 10133032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564461200).

10133032320 is an abundant number, since it is smaller than the sum of its proper divisors (24995890080).

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

10133032320 is a wasteful number, since it uses less digits than its factorization.

10133032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6977 (or 6962 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10133032320 its reverse (2323033101), we get a palindrome (12456065421).

The spelling of 10133032320 in words is "ten billion, one hundred thirty-three million, thirty-two thousand, three hundred twenty".