Search a number
-
+
1322131311113 is a prime number
BaseRepresentation
bin10011001111010101001…
…010101100101000001001
311200101122121022112200112
4103033111022230220021
5133130211103423423
62451213450244105
7164343434501324
oct23172512545011
94611577275615
101322131311113
1146a792725858
121942a3126635
13978a42038c2
1447dc494b7bb
15245d1d40a78
hex133d52aca09

1322131311113 has 2 divisors, whose sum is σ = 1322131311114. Its totient is φ = 1322131311112.

The previous prime is 1322131311103. The next prime is 1322131311131. The reversal of 1322131311113 is 3111131312231.

Together with next prime (1322131311131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1289308017529 + 32823293584 = 1135477^2 + 181172^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322131311113 - 24 = 1322131311097 is a prime.

It is a super-3 number, since 3×13221313111133 (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1322131311103) 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, 661065655556 + 661065655557.

It is an arithmetic number, because the mean of its divisors is an integer number (661065655557).

Almost surely, 21322131311113 is an apocalyptic number.

It is an amenable number.

1322131311113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322131311113 is an equidigital number, since it uses as much as digits as its factorization.

1322131311113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 23.

Adding to 1322131311113 its reverse (3111131312231), we get a palindrome (4433262623344).

The spelling of 1322131311113 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-one million, three hundred eleven thousand, one hundred thirteen".