213312302232000 has 224 divisors, whose sum is σ = 704722138009344. Its totient is φ = 56853810304000.

The previous prime is 213312302231993. The next prime is 213312302232023. The reversal of 213312302232000 is 232203213312.

It is a super-2 number, since 2×213312302232000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 44042599 + ... + 48645401.

It is an arithmetic number, because the mean of its divisors is an integer number (3146080973256).

Almost surely, 2^{213312302232000} is an apocalyptic number.

213312302232000 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 213312302232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352361069004672).

213312302232000 is an abundant number, since it is smaller than the sum of its proper divisors (491409835777344).

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

213312302232000 is a wasteful number, since it uses less digits than its factorization.

213312302232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604764 (or 4604744 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 213312302232000 its reverse (232203213312), we get a palindrome (213544505445312).

The spelling of 213312302232000 in words is "two hundred thirteen trillion, three hundred twelve billion, three hundred two million, two hundred thirty-two thousand".