1321220332133 has 8 divisors (see below), whose sum is σ = 1422894531576. Its totient is φ = 1219552113600.

The previous prime is 1321220332121. The next prime is 1321220332169. The reversal of 1321220332133 is 3312330221231.

It can be written as a sum of positive squares in 4 ways, for example, as 20746945444 + 1300473386689 = 144038^2 + 1140383^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1321220332133 - 2¹² = 1321220328037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321220331133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1031078 + ... + 1924983.

It is an arithmetic number, because the mean of its divisors is an integer number (177861816447).

Almost surely, 2^{1321220332133} is an apocalyptic number.

1321220332133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1321220332133 is a deficient number, since it is larger than the sum of its proper divisors (101674199443).

1321220332133 is a wasteful number, since it uses less digits than its factorization.

1321220332133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990455.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 1321220332133 its reverse (3312330221231), we get a palindrome (4633550553364).

The spelling of 1321220332133 in words is "one trillion, three hundred twenty-one billion, two hundred twenty million, three hundred thirty-two thousand, one hundred thirty-three".