Search a number
-
+
131021310137 is a prime number
BaseRepresentation
bin111101000000101111…
…0101000100010111001
3110112012002201011202012
41322001132220202321
54121312423411022
6140105041215305
712315554521634
oct1720136504271
9415162634665
10131021310137
11506251285a3
1221486931535
13c480663563
1464acda2c1b
15361c853de2
hex1e817a88b9

131021310137 has 2 divisors, whose sum is σ = 131021310138. Its totient is φ = 131021310136.

The previous prime is 131021310097. The next prime is 131021310139. The reversal of 131021310137 is 731013120131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130560091561 + 461218576 = 361331^2 + 21476^2 .

It is a cyclic number.

It is not a de Polignac number, because 131021310137 - 212 = 131021306041 is a prime.

Together with 131021310139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131021310139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65510655068 + 65510655069.

It is an arithmetic number, because the mean of its divisors is an integer number (65510655069).

Almost surely, 2131021310137 is an apocalyptic number.

It is an amenable number.

131021310137 is a deficient number, since it is larger than the sum of its proper divisors (1).

131021310137 is an equidigital number, since it uses as much as digits as its factorization.

131021310137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 23.

Adding to 131021310137 its reverse (731013120131), we get a palindrome (862034430268).

The spelling of 131021310137 in words is "one hundred thirty-one billion, twenty-one million, three hundred ten thousand, one hundred thirty-seven".