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13133005153 is a prime number
BaseRepresentation
bin11000011101100100…
…11100000101100001
31020220021001210020021
430032302130011201
5203344022131103
610011101513441
7643306462522
oct141662340541
936807053207
1013133005153
11562a26a174
122666272881
131313b00288
148c82ac849
1551ce75bbd
hex30ec9c161

13133005153 has 2 divisors, whose sum is σ = 13133005154. Its totient is φ = 13133005152.

The previous prime is 13133005147. The next prime is 13133005229. The reversal of 13133005153 is 35150033131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8925147729 + 4207857424 = 94473^2 + 64868^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13133005153 is a prime.

It is not a weakly prime, because it can be changed into another prime (13133045153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566502576 + 6566502577.

It is an arithmetic number, because the mean of its divisors is an integer number (6566502577).

Almost surely, 213133005153 is an apocalyptic number.

It is an amenable number.

13133005153 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133005153 is an equidigital number, since it uses as much as digits as its factorization.

13133005153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2025, while the sum is 25.

Adding to 13133005153 its reverse (35150033131), we get a palindrome (48283038284).

The spelling of 13133005153 in words is "thirteen billion, one hundred thirty-three million, five thousand, one hundred fifty-three".