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1311241352381 is a prime number
BaseRepresentation
bin10011000101001100000…
…100110011010010111101
311122100112122221022200122
4103011030010303102331
5132440410241234011
62442213112504325
7163506532411442
oct23051404632275
94570478838618
101311241352381
11466104617664
121921640ab0a5
139685a02733c
14476705239c9
1524195c8b3db
hex1314c1334bd

1311241352381 has 2 divisors, whose sum is σ = 1311241352382. Its totient is φ = 1311241352380.

The previous prime is 1311241352273. The next prime is 1311241352387. The reversal of 1311241352381 is 1832531421131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 753538580356 + 557702772025 = 868066^2 + 746795^2 .

It is an emirp because it is prime and its reverse (1832531421131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1311241352381 - 214 = 1311241335997 is a prime.

It is a super-2 number, since 2×13112413523812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1311241352387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655620676190 + 655620676191.

It is an arithmetic number, because the mean of its divisors is an integer number (655620676191).

Almost surely, 21311241352381 is an apocalyptic number.

It is an amenable number.

1311241352381 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311241352381 is an equidigital number, since it uses as much as digits as its factorization.

1311241352381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17280, while the sum is 35.

The spelling of 1311241352381 in words is "one trillion, three hundred eleven billion, two hundred forty-one million, three hundred fifty-two thousand, three hundred eighty-one".