233303200211312 has 160 divisors (see below), whose sum is σ = 564577324024320. Its totient is φ = 90733929661440.

The previous prime is 233303200211303. The next prime is 233303200211359. The reversal of 233303200211312 is 213112002303332.

It is a super-2 number, since 2×233303200211312² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2693149343 + ... + 2693235969.

It is an arithmetic number, because the mean of its divisors is an integer number (3528608275152).

Almost surely, 2^{233303200211312} is an apocalyptic number.

233303200211312 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 233303200211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282288662012160).

233303200211312 is an abundant number, since it is smaller than the sum of its proper divisors (331274123813008).

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

233303200211312 is a wasteful number, since it uses less digits than its factorization.

233303200211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90559 (or 90553 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 233303200211312 its reverse (213112002303332), we get a palindrome (446415202514644).

The spelling of 233303200211312 in words is "two hundred thirty-three trillion, three hundred three billion, two hundred million, two hundred eleven thousand, three hundred twelve".