213132444010000 has 100 divisors (see below), whose sum is σ = 518328934047232. Its totient is φ = 84870676368000.

The previous prime is 213132444009917. The next prime is 213132444010009. The reversal of 213132444010000 is 10444231312.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (213132444010009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45557544 + ... + 50017543.

Almost surely, 2^{213132444010000} is an apocalyptic number.

213132444010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213132444010000 is an abundant number, since it is smaller than the sum of its proper divisors (305196490037232).

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

213132444010000 is an equidigital number, since it uses as much as digits as its factorization.

213132444010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95575338 (or 95575317 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 213132444010000 its reverse (10444231312), we get a palindrome (213142888241312).

The spelling of 213132444010000 in words is "two hundred thirteen trillion, one hundred thirty-two billion, four hundred forty-four million, ten thousand".