213121121312 has 48 divisors (see below), whose sum is σ = 462258062784. Its totient is φ = 95914080000.

The previous prime is 213121121309. The next prime is 213121121341.

213121121312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213121121312² (a number of 23 digits) contains 22 as substring.

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, 2961764 + ... + 3032867.

It is an arithmetic number, because the mean of its divisors is an integer number (9630376308).

Almost surely, 2^213121121312 is an apocalyptic number.

213121121312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213121121312 is an abundant number, since it is smaller than the sum of its proper divisors (249136941472).

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

213121121312 is a wasteful number, since it uses less digits than its factorization.

213121121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994753 (or 5994745 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

It can be divided in two parts, 213121 and 121312, that added together give a palindrome (334433).

The spelling of 213121121312 in words is "two hundred thirteen billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred twelve".