1321013322321 has 32 divisors (see below), whose sum is σ = 2196105520128. Its totient is φ = 686198399040.

The previous prime is 1321013322301. The next prime is 1321013322329. The reversal of 1321013322321 is 1232233101231.

It is not a de Polignac number, because 1321013322321 - 2⁹ = 1321013321809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1321013322291 and 1321013322300.

It is not an unprimeable number, because it can be changed into a prime (1321013322329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3771570 + ... + 4106916.

It is an arithmetic number, because the mean of its divisors is an integer number (68628297504).

Almost surely, 2^{1321013322321} is an apocalyptic number.

1321013322321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1321013322321 is a deficient number, since it is larger than the sum of its proper divisors (875092197807).

1321013322321 is a wasteful number, since it uses less digits than its factorization.

1321013322321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352421.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1321013322321 its reverse (1232233101231), we get a palindrome (2553246423552).

The spelling of 1321013322321 in words is "one trillion, three hundred twenty-one billion, thirteen million, three hundred twenty-two thousand, three hundred twenty-one".