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13337381 is a prime number
BaseRepresentation
bin110010111000…
…001100100101
3221002121110002
4302320030211
511403244011
61153511045
7221236331
oct62701445
927077402
1013337381
11758a632
124572485
1329bc955
141ab27c1
151286c3b
hexcb8325

13337381 has 2 divisors, whose sum is σ = 13337382. Its totient is φ = 13337380.

The previous prime is 13337371. The next prime is 13337383. The reversal of 13337381 is 18373331.

13337381 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11621281 + 1716100 = 3409^2 + 1310^2 .

It is an emirp because it is prime and its reverse (18373331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13337381 is a prime.

It is a super-2 number, since 2×133373812 = 355771463878322, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 13337383, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13337383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6668690 + 6668691.

It is an arithmetic number, because the mean of its divisors is an integer number (6668691).

Almost surely, 213337381 is an apocalyptic number.

It is an amenable number.

13337381 is a deficient number, since it is larger than the sum of its proper divisors (1).

13337381 is an equidigital number, since it uses as much as digits as its factorization.

13337381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 29.

The square root of 13337381 is about 3652.0379242281. The cubic root of 13337381 is about 237.1502130691.

The spelling of 13337381 in words is "thirteen million, three hundred thirty-seven thousand, three hundred eighty-one".