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12333131273 is a prime number
BaseRepresentation
bin10110111110001110…
…01010011000001001
31011211111221222112202
423133013022120021
5200224240200043
65355445445545
7614424612641
oct133707123011
934744858482
1012333131273
115259805081
1224824108b5
131217192918
1484dd77521
154c2b261b8
hex2df1ca609

12333131273 has 2 divisors, whose sum is σ = 12333131274. Its totient is φ = 12333131272.

The previous prime is 12333131267. The next prime is 12333131347. The reversal of 12333131273 is 37213133321.

12333131273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9034122304 + 3299008969 = 95048^2 + 57437^2 .

It is a cyclic number.

It is not a de Polignac number, because 12333131273 - 222 = 12328936969 is a prime.

It is a super-2 number, since 2×123331312732 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12333131203) 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, 6166565636 + 6166565637.

It is an arithmetic number, because the mean of its divisors is an integer number (6166565637).

Almost surely, 212333131273 is an apocalyptic number.

It is an amenable number.

12333131273 is a deficient number, since it is larger than the sum of its proper divisors (1).

12333131273 is an equidigital number, since it uses as much as digits as its factorization.

12333131273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 29.

Adding to 12333131273 its reverse (37213133321), we get a palindrome (49546264594).

The spelling of 12333131273 in words is "twelve billion, three hundred thirty-three million, one hundred thirty-one thousand, two hundred seventy-three".