Search a number
-
+
13300322203213 is a prime number
BaseRepresentation
bin1100000110001011100011…
…1110101111011001001101
31202002111110022201011201221
43001202320332233121031
53220403024441000323
644142030023403341
72541626245250023
oct301427076573115
952074408634657
1013300322203213
1142686a9166041
1215a9836bb3551
137562a4489cc6
1433da4bc7a713
15180e8a28d55d
hexc18b8faf64d

13300322203213 has 2 divisors, whose sum is σ = 13300322203214. Its totient is φ = 13300322203212.

The previous prime is 13300322203211. The next prime is 13300322203241. The reversal of 13300322203213 is 31230222300331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6744684284809 + 6555637918404 = 2597053^2 + 2560398^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300322203213 - 21 = 13300322203211 is a prime.

It is a super-4 number, since 4×133003222032134 (a number of 54 digits) contains 4444 as substring.

Together with 13300322203211, 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 (13300322203211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650161101606 + 6650161101607.

It is an arithmetic number, because the mean of its divisors is an integer number (6650161101607).

Almost surely, 213300322203213 is an apocalyptic number.

It is an amenable number.

13300322203213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300322203213 is an equidigital number, since it uses as much as digits as its factorization.

13300322203213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 13300322203213 its reverse (31230222300331), we get a palindrome (44530544503544).

The spelling of 13300322203213 in words is "thirteen trillion, three hundred billion, three hundred twenty-two million, two hundred three thousand, two hundred thirteen".