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13335253331 is a prime number
BaseRepresentation
bin11000110101101011…
…11101000101010011
31021102100122001120112
430122311331011103
5204302311101311
610043124431535
7651313532411
oct143265750523
937370561515
1013335253331
115723448224
122701b485ab
13134699395a
149070b82b1
15530ac628b
hex31ad7d153

13335253331 has 2 divisors, whose sum is σ = 13335253332. Its totient is φ = 13335253330.

The previous prime is 13335253289. The next prime is 13335253333.

13335253331 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13335253331 is a prime.

It is a super-2 number, since 2×133352533312 (a number of 21 digits) contains 22 as substring.

Together with 13335253333, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13335253333) 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, 6667626665 + 6667626666.

It is an arithmetic number, because the mean of its divisors is an integer number (6667626666).

Almost surely, 213335253331 is an apocalyptic number.

13335253331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13335253331 is an equidigital number, since it uses as much as digits as its factorization.

13335253331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36450, while the sum is 32.

The spelling of 13335253331 in words is "thirteen billion, three hundred thirty-five million, two hundred fifty-three thousand, three hundred thirty-one".