10133320 has 32 divisors (see below), whose sum is σ = 23179320. Its totient is φ = 3985920.

The previous prime is 10133303. The next prime is 10133329. The reversal of 10133320 is 2333101.

10133320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2056356 + 8076964 = 1434^2 + 2842^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10133320.

It is not an unprimeable number, because it can be changed into a prime (10133329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364 + ... + 4516.

Almost surely, 2^10133320 is an apocalyptic number.

10133320 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 10133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11589660).

10133320 is an abundant number, since it is smaller than the sum of its proper divisors (13046000).

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

10133320 is a wasteful number, since it uses less digits than its factorization.

10133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 10133320 is about 3183.2876087467. The cubic root of 10133320 is about 216.3966761937.

Adding to 10133320 its reverse (2333101), we get a palindrome (12466421).

The spelling of 10133320 in words is "ten million, one hundred thirty-three thousand, three hundred twenty".