233312020213332 has 192 divisors, whose sum is σ = 598263686451200. Its totient is φ = 70501495288320.

The previous prime is 233312020213253. The next prime is 233312020213357.

233312020213332 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 233312020213332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4437335019 + ... + 4437387597.

Almost surely, 2^{233312020213332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233312020213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299131843225600).

233312020213332 is an abundant number, since it is smaller than the sum of its proper divisors (364951666237868).

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

233312020213332 is a wasteful number, since it uses less digits than its factorization.

233312020213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61326 (or 61324 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

The spelling of 233312020213332 in words is "two hundred thirty-three trillion, three hundred twelve billion, twenty million, two hundred thirteen thousand, three hundred thirty-two".