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33103312013 is a prime number
BaseRepresentation
bin11110110101000111…
…000111010010001101
310011110000201111011002
4132311013013102031
51020243421441023
623112450510045
72251221336512
oct366507072215
9104400644132
1033103312013
1113047a58302
1264ba295325
1331772ac7b5
141860665309
15cdb2c8b28
hex7b51c748d

33103312013 has 2 divisors, whose sum is σ = 33103312014. Its totient is φ = 33103312012.

The previous prime is 33103312009. The next prime is 33103312019. The reversal of 33103312013 is 31021330133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33081061924 + 22250089 = 181882^2 + 4717^2 .

It is an emirp because it is prime and its reverse (31021330133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33103312013 - 22 = 33103312009 is a prime.

It is a super-2 number, since 2×331033120132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33103312019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16551656006 + 16551656007.

It is an arithmetic number, because the mean of its divisors is an integer number (16551656007).

Almost surely, 233103312013 is an apocalyptic number.

It is an amenable number.

33103312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33103312013 is an equidigital number, since it uses as much as digits as its factorization.

33103312013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 33103312013 its reverse (31021330133), we get a palindrome (64124642146).

The spelling of 33103312013 in words is "thirty-three billion, one hundred three million, three hundred twelve thousand, thirteen".