233132313100 has 72 divisors (see below), whose sum is σ = 517840133888. Its totient is φ = 91052942400.

The previous prime is 233132313097. The next prime is 233132313119. The reversal of 233132313100 is 1313231332.

It is a super-2 number, since 2×233132313100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15502585 + ... + 15517615.

Almost surely, 2^233132313100 is an apocalyptic number.

233132313100 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 233132313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258920066944).

233132313100 is an abundant number, since it is smaller than the sum of its proper divisors (284707820788).

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

233132313100 is a wasteful number, since it uses less digits than its factorization.

233132313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18695 (or 18688 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 233132313100 its reverse (1313231332), we get a palindrome (234445544432).

The spelling of 233132313100 in words is "two hundred thirty-three billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred".