213123321312 has 48 divisors (see below), whose sum is σ = 610307695872. Its totient is φ = 64582824320.

The previous prime is 213123321259. The next prime is 213123321343.

213123321312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100909608 + ... + 100911719.

It is an arithmetic number, because the mean of its divisors is an integer number (12714743664).

Almost surely, 2^213123321312 is an apocalyptic number.

213123321312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213123321312 is an abundant number, since it is smaller than the sum of its proper divisors (397184374560).

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

213123321312 is a wasteful number, since it uses less digits than its factorization.

213123321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201821351 (or 201821343 counting only the distinct ones).

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

It can be divided in two parts, 213123 and 321312, that added together give a palindrome (534435).

The spelling of 213123321312 in words is "two hundred thirteen billion, one hundred twenty-three million, three hundred twenty-one thousand, three hundred twelve".