10322133120 has 192 divisors, whose sum is σ = 38385711000. Its totient is φ = 2540814336.

The previous prime is 10322133119. The next prime is 10322133149. The reversal of 10322133120 is 2133122301.

10322133120 is a `hidden beast` number, since 10 + 322 + 1 + 331 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8365663296 + 1956469824 = 91464^2 + 44232^2 .

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 = 10322133093 and 10322133102.

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, 5956 + ... + 143804.

Almost surely, 2^10322133120 is an apocalyptic number.

10322133120 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 10322133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192855500).

10322133120 is an abundant number, since it is smaller than the sum of its proper divisors (28063577880).

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

10322133120 is a wasteful number, since it uses less digits than its factorization.

10322133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137887 (or 137872 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10322133120 its reverse (2133122301), we get a palindrome (12455255421).

The spelling of 10322133120 in words is "ten billion, three hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty".