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3133350013 is a prime number
BaseRepresentation
bin1011101011000011…
…0010000001111101
322002100221200011111
42322300302001331
522404114200023
61234530322021
7140435015143
oct27260620175
98070850144
103133350013
111368770272
12735429311
133ac203a81
1421a1d9593
1513513500d
hexbac3207d

3133350013 has 2 divisors, whose sum is σ = 3133350014. Its totient is φ = 3133350012.

The previous prime is 3133349981. The next prime is 3133350023. The reversal of 3133350013 is 3100533313.

3133350013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3104384089 + 28965924 = 55717^2 + 5382^2 .

It is an emirp because it is prime and its reverse (3100533313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3133350013 - 25 = 3133349981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3133350023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566675006 + 1566675007.

It is an arithmetic number, because the mean of its divisors is an integer number (1566675007).

Almost surely, 23133350013 is an apocalyptic number.

It is an amenable number.

3133350013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133350013 is an equidigital number, since it uses as much as digits as its factorization.

3133350013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1215, while the sum is 22.

The square root of 3133350013 is about 55976.3344012450. The cubic root of 3133350013 is about 1463.3098756220.

Adding to 3133350013 its reverse (3100533313), we get a palindrome (6233883326).

The spelling of 3133350013 in words is "three billion, one hundred thirty-three million, three hundred fifty thousand, thirteen".