201213322310000 has 800 divisors, whose sum is σ = 659877773119488. Its totient is φ = 57378908160000.

The previous prime is 201213322309981. The next prime is 201213322310003. The reversal of 201213322310000 is 13223312102.

It is a super-2 number, since 2×201213322310000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201213322310003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1131041057 + ... + 1131218943.

Almost surely, 2^{201213322310000} is an apocalyptic number.

201213322310000 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 201213322310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329938886559744).

201213322310000 is an abundant number, since it is smaller than the sum of its proper divisors (458664450809488).

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

201213322310000 is a wasteful number, since it uses less digits than its factorization.

201213322310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178059 (or 178038 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 201213322310000 its reverse (13223312102), we get a palindrome (201226545622102).

The spelling of 201213322310000 in words is "two hundred one trillion, two hundred thirteen billion, three hundred twenty-two million, three hundred ten thousand".