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1313141311 is a prime number
BaseRepresentation
bin100111001000100…
…1111001000111111
310101111220111020101
41032101033020333
510142131010221
6334145101531
744353342216
oct11621171077
93344814211
101313141311
11614263559
123079278a7
1317c0895c1
14c658207d
157a438d91
hex4e44f23f

1313141311 has 2 divisors, whose sum is σ = 1313141312. Its totient is φ = 1313141310.

The previous prime is 1313141309. The next prime is 1313141339. The reversal of 1313141311 is 1131413131.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (1131413131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1313141311 - 21 = 1313141309 is a prime.

Together with 1313141309, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313141341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656570655 + 656570656.

It is an arithmetic number, because the mean of its divisors is an integer number (656570656).

Almost surely, 21313141311 is an apocalyptic number.

1313141311 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313141311 is an equidigital number, since it uses as much as digits as its factorization.

1313141311 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 19.

The square root of 1313141311 is about 36237.2917172352. The cubic root of 1313141311 is about 1095.0580818909.

Adding to 1313141311 its reverse (1131413131), we get a palindrome (2444554442).

The spelling of 1313141311 in words is "one billion, three hundred thirteen million, one hundred forty-one thousand, three hundred eleven".