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13133634307 is a prime number
BaseRepresentation
bin11000011101101001…
…10101101100000011
31020220022020202021021
430032310311230003
5203344202244212
610011123210311
7643315023013
oct141664655403
936808222237
1013133634307
11562a659932
122666516997
131313c90761
148c83d3c43
1551d04c307
hex30ed35b03

13133634307 has 2 divisors, whose sum is σ = 13133634308. Its totient is φ = 13133634306.

The previous prime is 13133634287. The next prime is 13133634323. The reversal of 13133634307 is 70343633131.

13133634307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13133634307 - 215 = 13133601539 is a prime.

It is a super-2 number, since 2×131336343072 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13133634337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566817153 + 6566817154.

It is an arithmetic number, because the mean of its divisors is an integer number (6566817154).

Almost surely, 213133634307 is an apocalyptic number.

13133634307 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133634307 is an equidigital number, since it uses as much as digits as its factorization.

13133634307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 34.

The spelling of 13133634307 in words is "thirteen billion, one hundred thirty-three million, six hundred thirty-four thousand, three hundred seven".