233213001000 has 384 divisors, whose sum is σ = 849154700160. Its totient is φ = 53133696000.

The previous prime is 233213000989. The next prime is 233213001013. The reversal of 233213001000 is 100312332.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 48654604 + ... + 48659396.

It is an arithmetic number, because the mean of its divisors is an integer number (2211340365).

Almost surely, 2^233213001000 is an apocalyptic number.

233213001000 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 233213001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424577350080).

233213001000 is an abundant number, since it is smaller than the sum of its proper divisors (615941699160).

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

233213001000 is a wasteful number, since it uses less digits than its factorization.

233213001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5162 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 233213001000 its reverse (100312332), we get a palindrome (233313313332).

The spelling of 233213001000 in words is "two hundred thirty-three billion, two hundred thirteen million, one thousand".