20121323213313 has 36 divisors (see below), whose sum is σ = 35056382707008. Its totient is φ = 10892746388880.

The previous prime is 20121323213291. The next prime is 20121323213317. The reversal of 20121323213313 is 31331232312102.

20121323213313 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 1 + 3 + 2 + 321 + 331 + 3 = 666.

It is not a de Polignac number, because 20121323213313 - 2¹⁴ = 20121323196929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20121323213317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 442340253 + ... + 442385738.

It is an arithmetic number, because the mean of its divisors is an integer number (973788408528).

Almost surely, 2^{20121323213313} is an apocalyptic number.

It is an amenable number.

20121323213313 is a deficient number, since it is larger than the sum of its proper divisors (14935059493695).

20121323213313 is a wasteful number, since it uses less digits than its factorization.

20121323213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884726042 (or 884726020 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 20121323213313 its reverse (31331232312102), we get a palindrome (51452555525415).

The spelling of 20121323213313 in words is "twenty trillion, one hundred twenty-one billion, three hundred twenty-three million, two hundred thirteen thousand, three hundred thirteen".