232231310133120 has 1536 divisors, whose sum is σ = 865636955688960. Its totient is φ = 59451936768000.

The previous prime is 232231310133113. The next prime is 232231310133131. The reversal of 232231310133120 is 21331013132232.

232231310133120 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 31 + 310 + 1 + 3 + 312 + 0 = 666.

It is a super-2 number, since 2×232231310133120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 312558963469 + ... + 312558964211.

It is an arithmetic number, because the mean of its divisors is an integer number (563565726360).

Almost surely, 2^{232231310133120} is an apocalyptic number.

232231310133120 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 232231310133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432818477844480).

232231310133120 is an abundant number, since it is smaller than the sum of its proper divisors (633405645555840).

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

232231310133120 is an equidigital number, since it uses as much as digits as its factorization.

232231310133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 232231310133120 its reverse (21331013132232), we get a palindrome (253562323265352).

The spelling of 232231310133120 in words is "two hundred thirty-two trillion, two hundred thirty-one billion, three hundred ten million, one hundred thirty-three thousand, one hundred twenty".