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1312131377 is a prime number
BaseRepresentation
bin100111000110101…
…1000100100110001
310101110000011212102
41032031120210301
510141401201002
6334111310145
744341634624
oct11615304461
93343004772
101312131377
116137337a7
1230751b355
1317bac49cb
14c639bdbb
157a2d9a02
hex4e358931

1312131377 has 2 divisors, whose sum is σ = 1312131378. Its totient is φ = 1312131376.

The previous prime is 1312131367. The next prime is 1312131409. The reversal of 1312131377 is 7731312131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1039353121 + 272778256 = 32239^2 + 16516^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312131377 - 212 = 1312127281 is a prime.

It is a super-2 number, since 2×13121313772 = 3443377501015832258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1312131367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656065688 + 656065689.

It is an arithmetic number, because the mean of its divisors is an integer number (656065689).

Almost surely, 21312131377 is an apocalyptic number.

It is an amenable number.

1312131377 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312131377 is an equidigital number, since it uses as much as digits as its factorization.

1312131377 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2646, while the sum is 29.

The square root of 1312131377 is about 36223.3540274779. The cubic root of 1312131377 is about 1094.7772743279. Note that the first 3 decimals are identical.

The spelling of 1312131377 in words is "one billion, three hundred twelve million, one hundred thirty-one thousand, three hundred seventy-seven".