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131322131137 is a prime number
BaseRepresentation
bin111101001001101101…
…0001011001011000001
3110112222001202110120201
41322103122023023001
54122421431144022
6140154545005201
712326166461041
oct1722332131301
9415861673521
10131322131137
1150769a1289a
122154b623801
13c4caa8ac52
1464dad0b721
153638e76127
hex1e9368b2c1

131322131137 has 2 divisors, whose sum is σ = 131322131138. Its totient is φ = 131322131136.

The previous prime is 131322131123. The next prime is 131322131153. The reversal of 131322131137 is 731131223131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108089055361 + 23233075776 = 328769^2 + 152424^2 .

It is a cyclic number.

It is not a de Polignac number, because 131322131137 - 231 = 129174647489 is a prime.

It is not a weakly prime, because it can be changed into another prime (131322131167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65661065568 + 65661065569.

It is an arithmetic number, because the mean of its divisors is an integer number (65661065569).

Almost surely, 2131322131137 is an apocalyptic number.

It is an amenable number.

131322131137 is a deficient number, since it is larger than the sum of its proper divisors (1).

131322131137 is an equidigital number, since it uses as much as digits as its factorization.

131322131137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2268, while the sum is 28.

Adding to 131322131137 its reverse (731131223131), we get a palindrome (862453354268).

The spelling of 131322131137 in words is "one hundred thirty-one billion, three hundred twenty-two million, one hundred thirty-one thousand, one hundred thirty-seven".