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13125311 is a prime number
BaseRepresentation
bin110010000100…
…011010111111
3220200211112122
4302010122333
511330002221
61145153155
7216364133
oct62043277
926624478
1013125311
117455271
12448b7bb
132947274
141a593c3
151243eab
hexc846bf

13125311 has 2 divisors, whose sum is σ = 13125312. Its totient is φ = 13125310.

The previous prime is 13125293. The next prime is 13125319. The reversal of 13125311 is 11352131.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13125311 is a prime.

It is a super-3 number, since 3×131253113 (a number of 22 digits) contains 333 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13125311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13125319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6562655 + 6562656.

It is an arithmetic number, because the mean of its divisors is an integer number (6562656).

Almost surely, 213125311 is an apocalyptic number.

13125311 is a deficient number, since it is larger than the sum of its proper divisors (1).

13125311 is an equidigital number, since it uses as much as digits as its factorization.

13125311 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 90, while the sum is 17.

The square root of 13125311 is about 3622.8871083709. The cubic root of 13125311 is about 235.8865621158.

Adding to 13125311 its reverse (11352131), we get a palindrome (24477442).

The spelling of 13125311 in words is "thirteen million, one hundred twenty-five thousand, three hundred eleven".