213220231002000 has 240 divisors, whose sum is σ = 764834417314032. Its totient is φ = 55322005708800.

The previous prime is 213220231001957. The next prime is 213220231002013. The reversal of 213220231002000 is 200132022312.

213220231002000 is a `hidden beast` number, since 2 + 13 + 220 + 231 + 0 + 0 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 68005487943936 + 145214743058064 = 8246544^2 + 12050508^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159409249 + ... + 160741248.

Almost surely, 2^{213220231002000} is an apocalyptic number.

213220231002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213220231002000 is an abundant number, since it is smaller than the sum of its proper divisors (551614186312032).

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

213220231002000 is a wasteful number, since it uses less digits than its factorization.

213220231002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320150563 (or 320150544 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213220231002000 its reverse (200132022312), we get a palindrome (213420363024312).

The spelling of 213220231002000 in words is "two hundred thirteen trillion, two hundred twenty billion, two hundred thirty-one million, two thousand".