10331120 has 40 divisors (see below), whose sum is σ = 24306480. Its totient is φ = 4083200.

The previous prime is 10331099. The next prime is 10331147. The reversal of 10331120 is 2113301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×10331120³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6395 + ... + 7845.

It is an arithmetic number, because the mean of its divisors is an integer number (607662).

Almost surely, 2^10331120 is an apocalyptic number.

10331120 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 10331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12153240).

10331120 is an abundant number, since it is smaller than the sum of its proper divisors (13975360).

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

10331120 is a wasteful number, since it uses less digits than its factorization.

10331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1547 counting only the distinct ones).

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

The square root of 10331120 is about 3214.2059672647. The cubic root of 10331120 is about 217.7956168767.

Adding to 10331120 its reverse (2113301), we get a palindrome (12444421).

The spelling of 10331120 in words is "ten million, three hundred thirty-one thousand, one hundred twenty".