120321414213 has 96 divisors (see below), whose sum is σ = 217892252928. Its totient is φ = 57468026880.

The previous prime is 120321414211. The next prime is 120321414221. The reversal of 120321414213 is 312414123021.

It is not a de Polignac number, because 120321414213 - 2¹ = 120321414211 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120321414211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8482395 + ... + 8496567.

It is an arithmetic number, because the mean of its divisors is an integer number (2269710968).

Almost surely, 2^120321414213 is an apocalyptic number.

120321414213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120321414213 is a deficient number, since it is larger than the sum of its proper divisors (97570838715).

120321414213 is a wasteful number, since it uses less digits than its factorization.

120321414213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14475 (or 14464 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 120321414213 its reverse (312414123021), we get a palindrome (432735537234).

The spelling of 120321414213 in words is "one hundred twenty billion, three hundred twenty-one million, four hundred fourteen thousand, two hundred thirteen".