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1131310013 is a prime number
BaseRepresentation
bin100001101101110…
…0110101110111101
32220211202111120212
41003123212232331
54304103410023
6304131522205
740014655631
oct10333465675
92824674525
101131310013
1153065aa59
12276a59365
131504c4012
14aa36cdc1
15694bce78
hex436e6bbd

1131310013 has 2 divisors, whose sum is σ = 1131310014. Its totient is φ = 1131310012.

The previous prime is 1131309983. The next prime is 1131310021. The reversal of 1131310013 is 3100131311.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 625150009 + 506160004 = 25003^2 + 22498^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1131310013 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1131310013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101310013) 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, 565655006 + 565655007.

It is an arithmetic number, because the mean of its divisors is an integer number (565655007).

Almost surely, 21131310013 is an apocalyptic number.

It is an amenable number.

1131310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1131310013 is an equidigital number, since it uses as much as digits as its factorization.

1131310013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 1131310013 is about 33634.9522520844. The cubic root of 1131310013 is about 1041.9827844951.

Adding to 1131310013 its reverse (3100131311), we get a palindrome (4231441324).

The spelling of 1131310013 in words is "one billion, one hundred thirty-one million, three hundred ten thousand, thirteen".