213031230132000 has 384 divisors, whose sum is σ = 805043061688320. Its totient is φ = 48237777177600.

The previous prime is 213031230131971. The next prime is 213031230132029. The reversal of 213031230132000 is 231032130312.

It is an interprime number because it is at equal distance from previous prime (213031230131971) and next prime (213031230132029).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2862870 + ... + 20838869.

It is an arithmetic number, because the mean of its divisors is an integer number (2096466306480).

Almost surely, 2^{213031230132000} is an apocalyptic number.

213031230132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213031230132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402521530844160).

213031230132000 is an abundant number, since it is smaller than the sum of its proper divisors (592011831556320).

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

213031230132000 is a wasteful number, since it uses less digits than its factorization.

213031230132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23701881 (or 23701863 counting only the distinct ones).

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

Adding to 213031230132000 its reverse (231032130312), we get a palindrome (213262262262312).

The spelling of 213031230132000 in words is "two hundred thirteen trillion, thirty-one billion, two hundred thirty million, one hundred thirty-two thousand".