321101301213 has 48 divisors (see below), whose sum is σ = 590563823616. Its totient is φ = 163256793120.

The previous prime is 321101301187. The next prime is 321101301251. The reversal of 321101301213 is 312103101123.

321101301213 is a `hidden beast` number, since 321 + 1 + 0 + 130 + 1 + 213 = 666.

It is not a de Polignac number, because 321101301213 - 2⁵ = 321101301181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321101301293) 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 47 ways as a sum of consecutive naturals, for example, 4896681 + ... + 4961822.

It is an arithmetic number, because the mean of its divisors is an integer number (12303412992).

Almost surely, 2^321101301213 is an apocalyptic number.

321101301213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

321101301213 is a deficient number, since it is larger than the sum of its proper divisors (269462522403).

321101301213 is a wasteful number, since it uses less digits than its factorization.

321101301213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9858574 (or 9858571 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 321101301213 its reverse (312103101123), we get a palindrome (633204402336).

The spelling of 321101301213 in words is "three hundred twenty-one billion, one hundred one million, three hundred one thousand, two hundred thirteen".