213112301322000 has 160 divisors (see below), whose sum is σ = 687440144836224. Its totient is φ = 56799667008000.

The previous prime is 213112301321999. The next prime is 213112301322013. The reversal of 213112301322000 is 223103211312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1800435 + ... + 20723565.

Almost surely, 2^{213112301322000} is an apocalyptic number.

213112301322000 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 213112301322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343720072418112).

213112301322000 is an abundant number, since it is smaller than the sum of its proper divisors (474327843514224).

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

213112301322000 is a wasteful number, since it uses less digits than its factorization.

213112301322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18925034 (or 18925018 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213112301322000 its reverse (223103211312), we get a palindrome (213335404533312).

The spelling of 213112301322000 in words is "two hundred thirteen trillion, one hundred twelve billion, three hundred one million, three hundred twenty-two thousand".