233113132032 has 176 divisors, whose sum is σ = 678629038464. Its totient is φ = 70555648000.

The previous prime is 233113131943. The next prime is 233113132037. The reversal of 233113132032 is 230231311332.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 233113131993 and 233113132011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233113132037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31794607 + ... + 31801937.

Almost surely, 2^233113132032 is an apocalyptic number.

233113132032 is a gapful number since it is divisible by the number (22) 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 233113132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339314519232).

233113132032 is an abundant number, since it is smaller than the sum of its proper divisors (445515906432).

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

233113132032 is a wasteful number, since it uses less digits than its factorization.

233113132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8306 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 233113132032 its reverse (230231311332), we get a palindrome (463344443364).

The spelling of 233113132032 in words is "two hundred thirty-three billion, one hundred thirteen million, one hundred thirty-two thousand, thirty-two".