321003020013 has 48 divisors (see below), whose sum is σ = 489935025216. Its totient is φ = 185201464320.

The previous prime is 321003019951. The next prime is 321003020119. The reversal of 321003020013 is 310020300123.

It is not a de Polignac number, because 321003020013 - 2²¹ = 321000922861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321003019974 and 321003020001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321003020413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47971998 + ... + 47978688.

It is an arithmetic number, because the mean of its divisors is an integer number (10206979692).

Almost surely, 2^321003020013 is an apocalyptic number.

It is an amenable number.

321003020013 is a deficient number, since it is larger than the sum of its proper divisors (168932005203).

321003020013 is a wasteful number, since it uses less digits than its factorization.

321003020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 321003020013 its reverse (310020300123), we get a palindrome (631023320136).

The spelling of 321003020013 in words is "three hundred twenty-one billion, three million, twenty thousand, thirteen".