Search a number
-
+
13333023110053 is a prime number
BaseRepresentation
bin1100001000000101011000…
…0110110011001110100101
31202012121212022020100202201
43002001112012303032211
53221422012404010203
644205034541334501
72544164512336603
oct302012606631645
952177768210681
1013333023110053
114280559a55389
1215b4042567431
137593b629551a
14341470cb2873
15181c5107ae1d
hexc20561b33a5

13333023110053 has 2 divisors, whose sum is σ = 13333023110054. Its totient is φ = 13333023110052.

The previous prime is 13333023110041. The next prime is 13333023110059. The reversal of 13333023110053 is 35001132033331.

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., 13295343253284 + 37679856769 = 3646278^2 + 194113^2 .

It is an emirp because it is prime and its reverse (35001132033331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13333023110053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13333023110059) 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, 6666511555026 + 6666511555027.

It is an arithmetic number, because the mean of its divisors is an integer number (6666511555027).

Almost surely, 213333023110053 is an apocalyptic number.

It is an amenable number.

13333023110053 is a deficient number, since it is larger than the sum of its proper divisors (1).

13333023110053 is an equidigital number, since it uses as much as digits as its factorization.

13333023110053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7290, while the sum is 28.

Adding to 13333023110053 its reverse (35001132033331), we get a palindrome (48334155143384).

The spelling of 13333023110053 in words is "thirteen trillion, three hundred thirty-three billion, twenty-three million, one hundred ten thousand, fifty-three".