233002133133100 has 108 divisors (see below), whose sum is σ = 534560433468600. Its totient is φ = 87909937528320.

The previous prime is 233002133133079. The next prime is 233002133133139. The reversal of 233002133133100 is 1331331200332.

It is a super-2 number, since 2×233002133133100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98468656 + ... + 100807144.

Almost surely, 2^{233002133133100} is an apocalyptic number.

233002133133100 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 233002133133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267280216734300).

233002133133100 is an abundant number, since it is smaller than the sum of its proper divisors (301558300335500).

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

233002133133100 is a wasteful number, since it uses less digits than its factorization.

233002133133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338980 (or 2338744 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 233002133133100 its reverse (1331331200332), we get a palindrome (234333464333432).

The spelling of 233002133133100 in words is "two hundred thirty-three trillion, two billion, one hundred thirty-three million, one hundred thirty-three thousand, one hundred".