1313223301313 has 24 divisors (see below), whose sum is σ = 1764531856224. Its totient is φ = 963097296000.

The previous prime is 1313223301303. The next prime is 1313223301319. The reversal of 1313223301313 is 3131033223131.

It is not a de Polignac number, because 1313223301313 - 2¹⁴ = 1313223284929 is a prime.

It is a super-2 number, since 2×1313223301313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313223301319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71649863 + ... + 71668188.

It is an arithmetic number, because the mean of its divisors is an integer number (73522160676).

Almost surely, 2^{1313223301313} is an apocalyptic number.

It is an amenable number.

1313223301313 is a deficient number, since it is larger than the sum of its proper divisors (451308554911).

1313223301313 is a wasteful number, since it uses less digits than its factorization.

1313223301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143318093 (or 143318086 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 1313223301313 its reverse (3131033223131), we get a palindrome (4444256524444).

The spelling of 1313223301313 in words is "one trillion, three hundred thirteen billion, two hundred twenty-three million, three hundred one thousand, three hundred thirteen".