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13330213037 is a prime number
BaseRepresentation
bin11000110101000101…
…01110100010101101
31021102000010222120222
430122202232202231
5204300013304122
610042424421125
7651222640601
oct143242564255
937360128528
1013330213037
115720615399
1227003177a5
13134591a72b
14906565501
1553042cb42
hex31a8ae8ad

13330213037 has 2 divisors, whose sum is σ = 13330213038. Its totient is φ = 13330213036.

The previous prime is 13330212953. The next prime is 13330213049. The reversal of 13330213037 is 73031203331.

It is a happy number.

13330213037 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., 13064718601 + 265494436 = 114301^2 + 16294^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13330213037 is a prime.

It is a super-2 number, since 2×133302130372 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13330212997 and 13330213015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13330213087) 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, 6665106518 + 6665106519.

It is an arithmetic number, because the mean of its divisors is an integer number (6665106519).

Almost surely, 213330213037 is an apocalyptic number.

It is an amenable number.

13330213037 is a deficient number, since it is larger than the sum of its proper divisors (1).

13330213037 is an equidigital number, since it uses as much as digits as its factorization.

13330213037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 26.

Adding to 13330213037 its reverse (73031203331), we get a palindrome (86361416368).

The spelling of 13330213037 in words is "thirteen billion, three hundred thirty million, two hundred thirteen thousand, thirty-seven".