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1313312323031 is a prime number
BaseRepresentation
bin10011000111000111100…
…000111011010111010111
311122112212222211112100022
4103013013200323113113
5133004130423314111
62443154412535355
7163612050361652
oct23070740732727
94575788745308
101313312323031
11466a77628555
1219264178155b
1396aca0bcc67
14477c95b4899
15242679bc2db
hex131c783b5d7

1313312323031 has 2 divisors, whose sum is σ = 1313312323032. Its totient is φ = 1313312323030.

The previous prime is 1313312322989. The next prime is 1313312323067. The reversal of 1313312323031 is 1303232133131.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1313312323031 - 26 = 1313312322967 is a prime.

It is a super-2 number, since 2×13133123230312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313312323231) 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 as a sum of consecutive naturals, namely, 656656161515 + 656656161516.

It is an arithmetic number, because the mean of its divisors is an integer number (656656161516).

Almost surely, 21313312323031 is an apocalyptic number.

1313312323031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313312323031 is an equidigital number, since it uses as much as digits as its factorization.

1313312323031 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1313312323031 its reverse (1303232133131), we get a palindrome (2616544456162).

The spelling of 1313312323031 in words is "one trillion, three hundred thirteen billion, three hundred twelve million, three hundred twenty-three thousand, thirty-one".