213332202012000 has 192 divisors, whose sum is σ = 722975477515200. Its totient is φ = 54926911692800.

The previous prime is 213332202011987. The next prime is 213332202012019. The reversal of 213332202012000 is 210202233312.

It is a happy number.

It is a super-3 number, since 3×213332202012000³ (a number of 44 digits) contains 333 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, 306163785 + ... + 306859784.

It is an arithmetic number, because the mean of its divisors is an integer number (3765497278725).

Almost surely, 2^{213332202012000} is an apocalyptic number.

213332202012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213332202012000 is an abundant number, since it is smaller than the sum of its proper divisors (509643275503200).

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

213332202012000 is a wasteful number, since it uses less digits than its factorization.

213332202012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613023626 (or 613023608 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 213332202012000 its reverse (210202233312), we get a palindrome (213542404245312).

The spelling of 213332202012000 in words is "two hundred thirteen trillion, three hundred thirty-two billion, two hundred two million, twelve thousand".