233213210013000 has 512 divisors, whose sum is σ = 845267125248000. Its totient is φ = 52433575142400.

The previous prime is 233213210012999. The next prime is 233213210013019. The reversal of 233213210013000 is 310012312332.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 398854861 + ... + 399439139.

It is an arithmetic number, because the mean of its divisors is an integer number (1650912354000).

Almost surely, 2^{233213210013000} is an apocalyptic number.

233213210013000 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 233213210013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422633562624000).

233213210013000 is an abundant number, since it is smaller than the sum of its proper divisors (612053915235000).

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

233213210013000 is a wasteful number, since it uses less digits than its factorization.

233213210013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584622 (or 584608 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 233213210013000 its reverse (310012312332), we get a palindrome (233523222325332).

The spelling of 233213210013000 in words is "two hundred thirty-three trillion, two hundred thirteen billion, two hundred ten million, thirteen thousand".