213001002132000 has 96 divisors (see below), whose sum is σ = 697791283023744. Its totient is φ = 56800267232000.

The previous prime is 213001002131917. The next prime is 213001002132047. The reversal of 213001002132000 is 231200100312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 8875029756 + ... + 8875053755.

It is an arithmetic number, because the mean of its divisors is an integer number (7268659198164).

Almost surely, 2^{213001002132000} is an apocalyptic number.

213001002132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213001002132000 is an abundant number, since it is smaller than the sum of its proper divisors (484790280891744).

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

213001002132000 is a wasteful number, since it uses less digits than its factorization.

213001002132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17750083539 (or 17750083521 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213001002132000 its reverse (231200100312), we get a palindrome (213232202232312).

The spelling of 213001002132000 in words is "two hundred thirteen trillion, one billion, two million, one hundred thirty-two thousand".