233130023120 has 40 divisors (see below), whose sum is σ = 542610929160. Its totient is φ = 93151600640.

The previous prime is 233130023081. The next prime is 233130023143. The reversal of 233130023120 is 21320031332.

It can be written as a sum of positive squares in 4 ways, for example, as 32092572736 + 201037450384 = 179144^2 + 448372^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 233130023092 and 233130023101.

It is a congruent number.

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, 1494101 + ... + 1642740.

It is an arithmetic number, because the mean of its divisors is an integer number (13565273229).

Almost surely, 2^233130023120 is an apocalyptic number.

233130023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233130023120 is an abundant number, since it is smaller than the sum of its proper divisors (309480906040).

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

233130023120 is a wasteful number, since it uses less digits than its factorization.

233130023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137783 (or 3137777 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 233130023120 its reverse (21320031332), we get a palindrome (254450054452).

The spelling of 233130023120 in words is "two hundred thirty-three billion, one hundred thirty million, twenty-three thousand, one hundred twenty".