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20121313133 is a prime number
BaseRepresentation
bin10010101111010100…
…101101111101101101
31220221021210121120202
4102233110231331231
5312202024010013
613124341323245
71311424224335
oct225724557555
956837717522
1020121313133
118595a58409
123a96706525
131b8887145c
14d8c4640c5
157cb730858
hex4af52df6d

20121313133 has 2 divisors, whose sum is σ = 20121313134. Its totient is φ = 20121313132.

The previous prime is 20121313109. The next prime is 20121313151. The reversal of 20121313133 is 33131312102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19199704969 + 921608164 = 138563^2 + 30358^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20121313133 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20121315133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060656566 + 10060656567.

It is an arithmetic number, because the mean of its divisors is an integer number (10060656567).

Almost surely, 220121313133 is an apocalyptic number.

It is an amenable number.

20121313133 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121313133 is an equidigital number, since it uses as much as digits as its factorization.

20121313133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 20121313133 its reverse (33131312102), we get a palindrome (53252625235).

The spelling of 20121313133 in words is "twenty billion, one hundred twenty-one million, three hundred thirteen thousand, one hundred thirty-three".