23301311120 has 80 divisors (see below), whose sum is σ = 57420543600. Its totient is φ = 8763359232.

The previous prime is 23301311113. The next prime is 23301311147. The reversal of 23301311120 is 2111310332.

It can be written as a sum of positive squares in 8 ways, for example, as 85303696 + 23216007424 = 9236^2 + 152368^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×23301311120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1418474 + ... + 1434806.

It is an arithmetic number, because the mean of its divisors is an integer number (717756795).

Almost surely, 2^23301311120 is an apocalyptic number.

23301311120 is a gapful number since it is divisible by the number (20) 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 23301311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28710271800).

23301311120 is an abundant number, since it is smaller than the sum of its proper divisors (34119232480).

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

23301311120 is a wasteful number, since it uses less digits than its factorization.

23301311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17412 (or 17406 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 23301311120 its reverse (2111310332), we get a palindrome (25412621452).

The spelling of 23301311120 in words is "twenty-three billion, three hundred one million, three hundred eleven thousand, one hundred twenty".