130311233201232 has 320 divisors, whose sum is σ = 398369065248000. Its totient is φ = 40642072952832.

The previous prime is 130311233201207. The next prime is 130311233201239. The reversal of 130311233201232 is 232102332113031.

130311233201232 is a `hidden beast` number, since 1 + 3 + 0 + 311 + 2 + 3 + 320 + 1 + 23 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 130311233201196 and 130311233201205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130311233201239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5459422194 + ... + 5459446062.

It is an arithmetic number, because the mean of its divisors is an integer number (1244903328900).

Almost surely, 2^{130311233201232} is an apocalyptic number.

130311233201232 is a gapful number since it is divisible by the number (12) 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 130311233201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199184532624000).

130311233201232 is an abundant number, since it is smaller than the sum of its proper divisors (268057832046768).

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

130311233201232 is a wasteful number, since it uses less digits than its factorization.

130311233201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28235 (or 28223 counting only the distinct ones).

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

Adding to 130311233201232 its reverse (232102332113031), we get a palindrome (362413565314263).

The spelling of 130311233201232 in words is "one hundred thirty trillion, three hundred eleven billion, two hundred thirty-three million, two hundred one thousand, two hundred thirty-two".