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1313112331 is a prime number
BaseRepresentation
bin100111001000100…
…1000000100001011
310101111212000111001
41032101020010023
510142124043311
6334144315431
744353161556
oct11621100413
93344760431
101313112331
11614243803
12307912b77
1317c07935b
14c657569d
157a4304c1
hex4e44810b

1313112331 has 2 divisors, whose sum is σ = 1313112332. Its totient is φ = 1313112330.

The previous prime is 1313112329. The next prime is 1313112341. The reversal of 1313112331 is 1332113131.

It is a weak prime.

It is an emirp because it is prime and its reverse (1332113131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1313112331 - 21 = 1313112329 is a prime.

It is a super-2 number, since 2×13131123312 = 3448527987648507122, which contains 22 as substring.

Together with 1313112329, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1313112299 and 1313112308.

It is not a weakly prime, because it can be changed into another prime (1313112301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656556165 + 656556166.

It is an arithmetic number, because the mean of its divisors is an integer number (656556166).

Almost surely, 21313112331 is an apocalyptic number.

1313112331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313112331 is an equidigital number, since it uses as much as digits as its factorization.

1313112331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 162, while the sum is 19.

The square root of 1313112331 is about 36236.8918507093. The cubic root of 1313112331 is about 1095.0500261403.

Adding to 1313112331 its reverse (1332113131), we get a palindrome (2645225462).

The spelling of 1313112331 in words is "one billion, three hundred thirteen million, one hundred twelve thousand, three hundred thirty-one".