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13121000320333 is a prime number
BaseRepresentation
bin1011111011101111100010…
…0100000010110101001101
31201110100121001221200022011
42332323320210002311031
53204433302040222313
643523412045221221
72522650422350533
oct276737044026515
951410531850264
1013121000320333
1141a9648687334
12157ab30561811
137423c71926b9
143350ba160153
1517b49238393d
hexbeef8902d4d

13121000320333 has 2 divisors, whose sum is σ = 13121000320334. Its totient is φ = 13121000320332.

The previous prime is 13121000320291. The next prime is 13121000320339. The reversal of 13121000320333 is 33302300012131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9151968149284 + 3969032171049 = 3025222^2 + 1992243^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121000320333 - 217 = 13121000189261 is a prime.

It is a super-3 number, since 3×131210003203333 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121000320339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560500160166 + 6560500160167.

It is an arithmetic number, because the mean of its divisors is an integer number (6560500160167).

Almost surely, 213121000320333 is an apocalyptic number.

It is an amenable number.

13121000320333 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121000320333 is an equidigital number, since it uses as much as digits as its factorization.

13121000320333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13121000320333 its reverse (33302300012131), we get a palindrome (46423300332464).

The spelling of 13121000320333 in words is "thirteen trillion, one hundred twenty-one billion, three hundred twenty thousand, three hundred thirty-three".