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1311310323331 is a prime number
BaseRepresentation
bin10011000101010000001…
…011111001111010000011
311122100201110201102001021
4103011100023321322003
5132441030420321311
62442224015050311
7163511330561101
oct23052013717203
94570643642037
101311310323331
1146613a545548
12192183210997
139686b3c5658
1447679758c71
152419bd62171
hex131502f9e83

1311310323331 has 2 divisors, whose sum is σ = 1311310323332. Its totient is φ = 1311310323330.

The previous prime is 1311310323329. The next prime is 1311310323473. The reversal of 1311310323331 is 1333230131131.

It is a weak prime.

It is an emirp because it is prime and its reverse (1333230131131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1311310323331 - 21 = 1311310323329 is a prime.

It is a super-2 number, since 2×13113103233312 (a number of 25 digits) contains 22 as substring.

Together with 1311310323329, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1311310323296 and 1311310323305.

It is not a weakly prime, because it can be changed into another prime (1311310323311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655655161665 + 655655161666.

It is an arithmetic number, because the mean of its divisors is an integer number (655655161666).

Almost surely, 21311310323331 is an apocalyptic number.

1311310323331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311310323331 is an equidigital number, since it uses as much as digits as its factorization.

1311310323331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 1311310323331 its reverse (1333230131131), we get a palindrome (2644540454462).

The spelling of 1311310323331 in words is "one trillion, three hundred eleven billion, three hundred ten million, three hundred twenty-three thousand, three hundred thirty-one".