213021033121312 has 96 divisors (see below), whose sum is σ = 478508342659200. Its totient is φ = 92476863418368.

The previous prime is 213021033121301. The next prime is 213021033121333. The reversal of 213021033121312 is 213121330120312.

It is a super-2 number, since 2×213021033121312² (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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146989 + ... + 20752147.

It is an arithmetic number, because the mean of its divisors is an integer number (4984461902700).

Almost surely, 2^{213021033121312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213021033121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239254171329600).

213021033121312 is an abundant number, since it is smaller than the sum of its proper divisors (265487309537888).

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

213021033121312 is a wasteful number, since it uses less digits than its factorization.

213021033121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18606818 (or 18606810 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 213021033121312 its reverse (213121330120312), we get a palindrome (426142363241624).

The spelling of 213021033121312 in words is "two hundred thirteen trillion, twenty-one billion, thirty-three million, one hundred twenty-one thousand, three hundred twelve".