213331434452000 has 96 divisors (see below), whose sum is σ = 524162460210480. Its totient is φ = 85331413708800.

The previous prime is 213331434451999. The next prime is 213331434452029. The reversal of 213331434452000 is 254434133312.

It can be written as a sum of positive squares in 8 ways, for example, as 30529028494864 + 182802405957136 = 5525308^2 + 13520444^2 .

It is a super-3 number, since 3×213331434452000³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331987016 + ... + 332628984.

Almost surely, 2^{213331434452000} is an apocalyptic number.

213331434452000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213331434452000 is an abundant number, since it is smaller than the sum of its proper divisors (310831025758480).

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

213331434452000 is an equidigital number, since it uses as much as digits as its factorization.

213331434452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725071 (or 725053 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 213331434452000 its reverse (254434133312), we get a palindrome (213585868585312).

The spelling of 213331434452000 in words is "two hundred thirteen trillion, three hundred thirty-one billion, four hundred thirty-four million, four hundred fifty-two thousand".