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33113011313 is a prime number
BaseRepresentation
bin11110110101101100…
…000111010001110001
310011110200222021002102
4132311230013101301
51020303412330223
623113434430145
72251366644404
oct366554072161
9104420867072
1033113011313
1113052482558
126501592355
1331792c7525
141861a6bd3b
15cdc092928
hex7b5b07471

33113011313 has 2 divisors, whose sum is σ = 33113011314. Its totient is φ = 33113011312.

The previous prime is 33113011307. The next prime is 33113011357. The reversal of 33113011313 is 31311031133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30704851984 + 2408159329 = 175228^2 + 49073^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33113011313 is a prime.

It is not a weakly prime, because it can be changed into another prime (33113011513) 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, 16556505656 + 16556505657.

It is an arithmetic number, because the mean of its divisors is an integer number (16556505657).

Almost surely, 233113011313 is an apocalyptic number.

It is an amenable number.

33113011313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33113011313 is an equidigital number, since it uses as much as digits as its factorization.

33113011313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 33113011313 its reverse (31311031133), we get a palindrome (64424042446).

The spelling of 33113011313 in words is "thirty-three billion, one hundred thirteen million, eleven thousand, three hundred thirteen".