213311202000 has 320 divisors, whose sum is σ = 743038942464. Its totient is φ = 52335667200.

The previous prime is 213311201951. The next prime is 213311202019. The reversal of 213311202000 is 202113312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24721687 + ... + 24730313.

Almost surely, 2^213311202000 is an apocalyptic number.

213311202000 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 213311202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371519471232).

213311202000 is an abundant number, since it is smaller than the sum of its proper divisors (529727740464).

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

213311202000 is a wasteful number, since it uses less digits than its factorization.

213311202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8983 (or 8967 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213311202000 its reverse (202113312), we get a palindrome (213513315312).

The spelling of 213311202000 in words is "two hundred thirteen billion, three hundred eleven million, two hundred two thousand".