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333121013 is a prime number
BaseRepresentation
bin10011110110110…
…000010111110101
3212012211022010022
4103312300113311
51140234333023
653015534525
711153324201
oct2366602765
9765738108
10333121013
11161046825
129368a445
1354026534
1432355b01
151e3a27c8
hex13db05f5

333121013 has 2 divisors, whose sum is σ = 333121014. Its totient is φ = 333121012.

The previous prime is 333121003. The next prime is 333121049. The reversal of 333121013 is 310121333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 223143844 + 109977169 = 14938^2 + 10487^2 .

It is an emirp because it is prime and its reverse (310121333) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 333121013 - 28 = 333120757 is a prime.

It is a super-2 number, since 2×3331210132 = 221939218604292338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 333120982 and 333121000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (333121003) 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, 166560506 + 166560507.

It is an arithmetic number, because the mean of its divisors is an integer number (166560507).

Almost surely, 2333121013 is an apocalyptic number.

It is an amenable number.

333121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

333121013 is an equidigital number, since it uses as much as digits as its factorization.

333121013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 333121013 is about 18251.6030254879. The cubic root of 333121013 is about 693.2140283860.

Adding to 333121013 its reverse (310121333), we get a palindrome (643242346).

The spelling of 333121013 in words is "three hundred thirty-three million, one hundred twenty-one thousand, thirteen".