Search a number
-
+
131320303212037 is a prime number
BaseRepresentation
bin11101110110111101100100…
…000001100101011000000101
3122012222002122201102202222011
4131312331210001211120011
5114203022440110241122
61143143414153534221
736442402350635152
oct3566754401453005
9565862581382864
10131320303212037
113892a69a7170a5
121288a907a14371
1358375b3b0b054
14245dd17ddb229
15102ae20b80377
hex776f64065605

131320303212037 has 2 divisors, whose sum is σ = 131320303212038. Its totient is φ = 131320303212036.

The previous prime is 131320303211989. The next prime is 131320303212041. The reversal of 131320303212037 is 730212303023131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121274737775361 + 10045565436676 = 11012481^2 + 3169474^2 .

It is a cyclic number.

It is not a de Polignac number, because 131320303212037 - 215 = 131320303179269 is a prime.

It is a super-3 number, since 3×1313203032120373 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131320303212737) 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, 65660151606018 + 65660151606019.

It is an arithmetic number, because the mean of its divisors is an integer number (65660151606019).

Almost surely, 2131320303212037 is an apocalyptic number.

It is an amenable number.

131320303212037 is a deficient number, since it is larger than the sum of its proper divisors (1).

131320303212037 is an equidigital number, since it uses as much as digits as its factorization.

131320303212037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 31.

Adding to 131320303212037 its reverse (730212303023131), we get a palindrome (861532606235168).

The spelling of 131320303212037 in words is "one hundred thirty-one trillion, three hundred twenty billion, three hundred three million, two hundred twelve thousand, thirty-seven".