213013132032000 has 192 divisors, whose sum is σ = 708734632788000. Its totient is φ = 56803501670400.

The previous prime is 213013132031957. The next prime is 213013132032007. The reversal of 213013132032000 is 230231310312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213013132032007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137912425 + ... + 139448424.

Almost surely, 2^{213013132032000} is an apocalyptic number.

213013132032000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213013132032000 is an abundant number, since it is smaller than the sum of its proper divisors (495721500756000).

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

213013132032000 is an equidigital number, since it uses as much as digits as its factorization.

213013132032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277360889 (or 277360859 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213013132032000 its reverse (230231310312), we get a palindrome (213243363342312).

The spelling of 213013132032000 in words is "two hundred thirteen trillion, thirteen billion, one hundred thirty-two million, thirty-two thousand".