213321313101000 has 256 divisors, whose sum is σ = 718470310521600. Its totient is φ = 52384535808000.

The previous prime is 213321313100983. The next prime is 213321313101073. The reversal of 213321313101000 is 101313123312.

It is a happy number.

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, 9813820 + ... + 22868180.

It is an arithmetic number, because the mean of its divisors is an integer number (2806524650475).

Almost surely, 2^{213321313101000} is an apocalyptic number.

213321313101000 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 213321313101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359235155260800).

213321313101000 is an abundant number, since it is smaller than the sum of its proper divisors (505148997420600).

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

213321313101000 is a wasteful number, since it uses less digits than its factorization.

213321313101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13054817 (or 13054803 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 213321313101000 its reverse (101313123312), we get a palindrome (213422626224312).

The spelling of 213321313101000 in words is "two hundred thirteen trillion, three hundred twenty-one billion, three hundred thirteen million, one hundred one thousand".