213323121323312 has 240 divisors, whose sum is σ = 564678660710976. Its totient is φ = 75959997696000.

The previous prime is 213323121323267. The next prime is 213323121323369.

213323121323312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213323121323312² (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 47 ways as a sum of consecutive naturals, for example, 11799458 + ... + 23788094.

Almost surely, 2^{213323121323312} is an apocalyptic number.

213323121323312 is a gapful number since it is divisible by the number (22) 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 213323121323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282339330355488).

213323121323312 is an abundant number, since it is smaller than the sum of its proper divisors (351355539387664).

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

213323121323312 is a wasteful number, since it uses less digits than its factorization.

213323121323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11988788 (or 11988771 counting only the distinct ones).

The product of its digits is 23328, while the sum is 32.

The spelling of 213323121323312 in words is "two hundred thirteen trillion, three hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-three thousand, three hundred twelve".