213122312013000 has 512 divisors, whose sum is σ = 758322347328000. Its totient is φ = 49367885414400.

The previous prime is 213122312012993. The next prime is 213122312013049. The reversal of 213122312013000 is 310213221312.

It is a super-2 number, since 2×213122312013000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5707748331 + ... + 5707785669.

It is an arithmetic number, because the mean of its divisors is an integer number (1481098334625).

Almost surely, 2^{213122312013000} is an apocalyptic number.

213122312013000 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 213122312013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379161173664000).

213122312013000 is an abundant number, since it is smaller than the sum of its proper divisors (545200035315000).

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

213122312013000 is a wasteful number, since it uses less digits than its factorization.

213122312013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46002 (or 45988 counting only the distinct ones).

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

Adding to 213122312013000 its reverse (310213221312), we get a palindrome (213432525234312).

The spelling of 213122312013000 in words is "two hundred thirteen trillion, one hundred twenty-two billion, three hundred twelve million, thirteen thousand".