1312033311221 has 8 divisors (see below), whose sum is σ = 1314290420280. Its totient is φ = 1309778129088.

The previous prime is 1312033311089. The next prime is 1312033311283. The reversal of 1312033311221 is 1221133302131.

It can be written as a sum of positive squares in 4 ways, for example, as 412627654321 + 899405656900 = 642361^2 + 948370^2 .

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 1312033311221 - 2¹⁸ = 1312033049077 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 (1312033311521) 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 7 ways as a sum of consecutive naturals, for example, 884555 + ... + 1845671.

It is an arithmetic number, because the mean of its divisors is an integer number (164286302535).

Almost surely, 2^{1312033311221} is an apocalyptic number.

It is an amenable number.

1312033311221 is a deficient number, since it is larger than the sum of its proper divisors (2257109059).

1312033311221 is a wasteful number, since it uses less digits than its factorization.

1312033311221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963463.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1312033311221 its reverse (1221133302131), we get a palindrome (2533166613352).

The spelling of 1312033311221 in words is "one trillion, three hundred twelve billion, thirty-three million, three hundred eleven thousand, two hundred twenty-one".