1313312221 has 8 divisors (see below), whose sum is σ = 1415998584. Its totient is φ = 1210863360.

The previous prime is 1313312219. The next prime is 1313312227. The reversal of 1313312221 is 1222133131.

It can be written as a sum of positive squares in 4 ways, for example, as 582691321 + 730620900 = 24139^2 + 27030^2 .

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 1313312221 - 2¹ = 1313312219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313312227) 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, 47800 + ... + 70081.

It is an arithmetic number, because the mean of its divisors is an integer number (176999823).

Almost surely, 2^1313312221 is an apocalyptic number.

It is an amenable number.

1313312221 is a deficient number, since it is larger than the sum of its proper divisors (102686363).

1313312221 is a wasteful number, since it uses less digits than its factorization.

1313312221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118751.

The product of its digits is 216, while the sum is 19.

The square root of 1313312221 is about 36239.6498465424. The cubic root of 1313312221 is about 1095.1055883946.

Adding to 1313312221 its reverse (1222133131), we get a palindrome (2535445352).

The spelling of 1313312221 in words is "one billion, three hundred thirteen million, three hundred twelve thousand, two hundred twenty-one".