10133120 has 64 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 3978240.

The previous prime is 10133119. The next prime is 10133131. The reversal of 10133120 is 2133101.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45329 + ... + 45551.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 2^10133120 is an apocalyptic number.

10133120 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 10133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

10133120 is an abundant number, since it is smaller than the sum of its proper divisors (14542720).

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

10133120 is an equidigital number, since it uses as much as digits as its factorization.

10133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 10133120 is about 3183.2561945279. The cubic root of 10133120 is about 216.3952525202.

Adding to 10133120 its reverse (2133101), we get a palindrome (12266221).

The spelling of 10133120 in words is "ten million, one hundred thirty-three thousand, one hundred twenty".