133311322313 has 16 divisors (see below), whose sum is σ = 153578250000. Its totient is φ = 114623963136.

The previous prime is 133311322267. The next prime is 133311322337. The reversal of 133311322313 is 313223113331.

It can be written as a sum of positive squares in 8 ways, for example, as 10981363264 + 122329959049 = 104792^2 + 349757^2 .

It is a cyclic number.

It is not a de Polignac number, because 133311322313 - 2²⁶ = 133244213449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133311322013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3087938 + ... + 3130811.

It is an arithmetic number, because the mean of its divisors is an integer number (9598640625).

Almost surely, 2^133311322313 is an apocalyptic number.

133311322313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133311322313 is a deficient number, since it is larger than the sum of its proper divisors (20266927687).

133311322313 is a wasteful number, since it uses less digits than its factorization.

133311322313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6218876.

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

Adding to 133311322313 its reverse (313223113331), we get a palindrome (446534435644).

The spelling of 133311322313 in words is "one hundred thirty-three billion, three hundred eleven million, three hundred twenty-two thousand, three hundred thirteen".