Search a number
-
+
1322132113013 is a prime number
BaseRepresentation
bin10011001111010101001…
…101110000011001110101
311200101122122211021200112
4103033111031300121311
5133130211310104023
62451213515352405
7164343444351245
oct23172515603165
94611578737615
101322132113013
1146a793123288
121942a3452705
13978a44248ba
1447dc4ab9b25
15245d1e4d478
hex133d5370675

1322132113013 has 2 divisors, whose sum is σ = 1322132113014. Its totient is φ = 1322132113012.

The previous prime is 1322132113009. The next prime is 1322132113177. The reversal of 1322132113013 is 3103112312231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1306890235249 + 15241877764 = 1143193^2 + 123458^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322132113013 - 22 = 1322132113009 is a prime.

It is a super-3 number, since 3×13221321130133 (a number of 37 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1322132113013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1322132113613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661066056506 + 661066056507.

It is an arithmetic number, because the mean of its divisors is an integer number (661066056507).

Almost surely, 21322132113013 is an apocalyptic number.

It is an amenable number.

1322132113013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322132113013 is an equidigital number, since it uses as much as digits as its factorization.

1322132113013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1322132113013 its reverse (3103112312231), we get a palindrome (4425244425244).

The spelling of 1322132113013 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-two million, one hundred thirteen thousand, thirteen".