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13122230330333 is a prime number
BaseRepresentation
bin1011111011110100000111…
…1000001010001111011101
31201110110202210102122211002
42332331001320022033131
53204443311431032313
643524134104440045
72523023046305525
oct276750170121735
951413683378732
1013122230330333
1141aa119a20023
12157b214479025
13742561c63577
14335195662685
1517b51534b058
hexbef41e0a3dd

13122230330333 has 2 divisors, whose sum is σ = 13122230330334. Its totient is φ = 13122230330332.

The previous prime is 13122230330323. The next prime is 13122230330359. The reversal of 13122230330333 is 33303303222131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11184864206884 + 1937366123449 = 3344378^2 + 1391893^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13122230330333 is a prime.

It is a super-3 number, since 3×131222303303333 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13122230330296 and 13122230330305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13122230330323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561115165166 + 6561115165167.

It is an arithmetic number, because the mean of its divisors is an integer number (6561115165167).

Almost surely, 213122230330333 is an apocalyptic number.

It is an amenable number.

13122230330333 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122230330333 is an equidigital number, since it uses as much as digits as its factorization.

13122230330333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 13122230330333 its reverse (33303303222131), we get a palindrome (46425533552464).

The spelling of 13122230330333 in words is "thirteen trillion, one hundred twenty-two billion, two hundred thirty million, three hundred thirty thousand, three hundred thirty-three".