213001310032000 has 128 divisors (see below), whose sum is σ = 605228008394880. Its totient is φ = 73029020544000.

The previous prime is 213001310031977. The next prime is 213001310032009. The reversal of 213001310032000 is 230013100312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (213001310032009) 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, 950786706 + ... + 951010705.

It is an arithmetic number, because the mean of its divisors is an integer number (4728343815585).

Almost surely, 2^{213001310032000} is an apocalyptic number.

213001310032000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213001310032000 is an abundant number, since it is smaller than the sum of its proper divisors (392226698362880).

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

213001310032000 is an equidigital number, since it uses as much as digits as its factorization.

213001310032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901797447 (or 1901797425 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 213001310032000 its reverse (230013100312), we get a palindrome (213231323132312).

The spelling of 213001310032000 in words is "two hundred thirteen trillion, one billion, three hundred ten million, thirty-two thousand".