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131314224422137 is a prime number
BaseRepresentation
bin11101110110110111111001…
…101100110101110011111001
3122012221111222002010020212111
4131312313321230311303321
5114202423012423002022
61143140531044212321
736442065616033501
oct3566677154656371
9565844862106774
10131314224422137
1138928060371299
12128896b009a0a1
135836b55616953
14245d8dc95ca01
15102abb7182477
hex776df9b35cf9

131314224422137 has 2 divisors, whose sum is σ = 131314224422138. Its totient is φ = 131314224422136.

The previous prime is 131314224422123. The next prime is 131314224422203. The reversal of 131314224422137 is 731224422413131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81120626876601 + 50193597545536 = 9006699^2 + 7084744^2 .

It is a cyclic number.

It is not a de Polignac number, because 131314224422137 - 223 = 131314216033529 is a prime.

It is a super-2 number, since 2×1313142244221372 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131314224422137.

It is not a weakly prime, because it can be changed into another prime (131314224422237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65657112211068 + 65657112211069.

It is an arithmetic number, because the mean of its divisors is an integer number (65657112211069).

Almost surely, 2131314224422137 is an apocalyptic number.

It is an amenable number.

131314224422137 is a deficient number, since it is larger than the sum of its proper divisors (1).

131314224422137 is an equidigital number, since it uses as much as digits as its factorization.

131314224422137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 193536, while the sum is 40.

Adding to 131314224422137 its reverse (731224422413131), we get a palindrome (862538646835268).

The spelling of 131314224422137 in words is "one hundred thirty-one trillion, three hundred fourteen billion, two hundred twenty-four million, four hundred twenty-two thousand, one hundred thirty-seven".