Search a number
-
+
331332131311 is a prime number
BaseRepresentation
bin1001101001001001110…
…11110001100111101111
31011200020002212012201221
410310210323301213233
520412032011200221
6412113433244211
732636501435056
oct4644473614757
91150202765657
10331332131311
111185763942a5
125426a563667
132532419ba8c
141207247339d
158943223541
hex4d24ef19ef

331332131311 has 2 divisors, whose sum is σ = 331332131312. Its totient is φ = 331332131310.

The previous prime is 331332131309. The next prime is 331332131357. The reversal of 331332131311 is 113131233133.

It is a weak prime.

It is an emirp because it is prime and its reverse (113131233133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331332131311 - 21 = 331332131309 is a prime.

Together with 331332131309, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331332131411) 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, 165666065655 + 165666065656.

It is an arithmetic number, because the mean of its divisors is an integer number (165666065656).

Almost surely, 2331332131311 is an apocalyptic number.

331332131311 is a deficient number, since it is larger than the sum of its proper divisors (1).

331332131311 is an equidigital number, since it uses as much as digits as its factorization.

331332131311 is an odious number, because the sum of its binary digits is odd.

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

Adding to 331332131311 its reverse (113131233133), we get a palindrome (444463364444).

The spelling of 331332131311 in words is "three hundred thirty-one billion, three hundred thirty-two million, one hundred thirty-one thousand, three hundred eleven".