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13301003302931 is a prime number
BaseRepresentation
bin1100000110001110000110…
…0100111011100000010011
31202002120012210022121220102
43001203201210323200103
53220410423321143211
644142221354003015
72541652155432341
oct301434144734023
952076183277812
1013301003302931
114268a18676373
1215a99a711646b
1375638260c6a6
1433dab44d4991
15180ec9e7aa3b
hexc18e193b813

13301003302931 has 2 divisors, whose sum is σ = 13301003302932. Its totient is φ = 13301003302930.

The previous prime is 13301003302921. The next prime is 13301003302957. The reversal of 13301003302931 is 13920330010331.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13301003302931 is a prime.

It is a super-2 number, since 2×133010033029312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13301003302894 and 13301003302903.

It is not a weakly prime, because it can be changed into another prime (13301003302921) 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, 6650501651465 + 6650501651466.

It is an arithmetic number, because the mean of its divisors is an integer number (6650501651466).

Almost surely, 213301003302931 is an apocalyptic number.

13301003302931 is a deficient number, since it is larger than the sum of its proper divisors (1).

13301003302931 is an equidigital number, since it uses as much as digits as its factorization.

13301003302931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 29.

The spelling of 13301003302931 in words is "thirteen trillion, three hundred one billion, three million, three hundred two thousand, nine hundred thirty-one".