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13300133089 is a prime number
BaseRepresentation
bin11000110001011111…
…11110110011100001
31021022220112202122211
430120233332303201
5204214313224324
610035432002121
7650406160135
oct143057766341
937286482584
1013300133089
11570563a931
1226b2230341
13133c618249
149025753c5
1552c98a294
hex318bfece1

13300133089 has 2 divisors, whose sum is σ = 13300133090. Its totient is φ = 13300133088.

The previous prime is 13300133087. The next prime is 13300133137. The reversal of 13300133089 is 98033100331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9227523600 + 4072609489 = 96060^2 + 63817^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300133089 - 21 = 13300133087 is a prime.

It is a super-2 number, since 2×133001330892 (a number of 21 digits) contains 22 as substring.

Together with 13300133087, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 13300133089.

It is not a weakly prime, because it can be changed into another prime (13300133087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650066544 + 6650066545.

It is an arithmetic number, because the mean of its divisors is an integer number (6650066545).

Almost surely, 213300133089 is an apocalyptic number.

It is an amenable number.

13300133089 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300133089 is an equidigital number, since it uses as much as digits as its factorization.

13300133089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 13300133089 in words is "thirteen billion, three hundred million, one hundred thirty-three thousand, eighty-nine".