1013312203321 has 16 divisors (see below), whose sum is σ = 1113053433408. Its totient is φ = 914857574400.

The previous prime is 1013312203283. The next prime is 1013312203331. The reversal of 1013312203321 is 1233022133101.

It is not a de Polignac number, because 1013312203321 - 2⁹ = 1013312202809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013312203292 and 1013312203301.

It is not an unprimeable number, because it can be changed into a prime (1013312203331) 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 15 ways as a sum of consecutive naturals, for example, 839641 + ... + 1652761.

It is an arithmetic number, because the mean of its divisors is an integer number (69565839588).

Almost surely, 2^{1013312203321} is an apocalyptic number.

1013312203321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013312203321 is a deficient number, since it is larger than the sum of its proper divisors (99741230087).

1013312203321 is a wasteful number, since it uses less digits than its factorization.

1013312203321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813912.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1013312203321 its reverse (1233022133101), we get a palindrome (2246334336422).

The spelling of 1013312203321 in words is "one trillion, thirteen billion, three hundred twelve million, two hundred three thousand, three hundred twenty-one".