232133310113100 has 288 divisors, whose sum is σ = 755216479885056. Its totient is φ = 54556127769600.

The previous prime is 232133310113009. The next prime is 232133310113129. The reversal of 232133310113100 is 1311013331232.

It is a super-2 number, since 2×232133310113100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30389979 + ... + 37253421.

Almost surely, 2^{232133310113100} is an apocalyptic number.

232133310113100 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 232133310113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377608239942528).

232133310113100 is an abundant number, since it is smaller than the sum of its proper divisors (523083169771956).

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

232133310113100 is a wasteful number, since it uses less digits than its factorization.

232133310113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6863785 (or 6863778 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 232133310113100 its reverse (1311013331232), we get a palindrome (233444323444332).

The spelling of 232133310113100 in words is "two hundred thirty-two trillion, one hundred thirty-three billion, three hundred ten million, one hundred thirteen thousand, one hundred".