213213000312312 has 768 divisors, whose sum is σ = 753333801615360. Its totient is φ = 48874776192000.

The previous prime is 213213000312271. The next prime is 213213000312341.

213213000312312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 679794487 + ... + 680108057.

It is an arithmetic number, because the mean of its divisors is an integer number (980903387520).

Almost surely, 2^{213213000312312} is an apocalyptic number.

213213000312312 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 213213000312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376666900807680).

213213000312312 is an abundant number, since it is smaller than the sum of its proper divisors (540120801303048).

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

213213000312312 is a wasteful number, since it uses less digits than its factorization.

213213000312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313736 (or 313721 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 213213000 and 312312, that added together give a palindrome (213525312).

The spelling of 213213000312312 in words is "two hundred thirteen trillion, two hundred thirteen billion, three hundred twelve thousand, three hundred twelve".