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13092941573681 is a prime number
BaseRepresentation
bin1011111010000111000000…
…1000011010111000110001
31201100200011121110122220012
42332201300020122320301
53204003321020324211
643502451521024305
72520635204056454
oct276416010327061
951320147418805
1013092941573681
11419875a205712
1215755bb785095
1373c875046328
143339b787b49b
1517a89ddb5d8b
hexbe87021ae31

13092941573681 has 2 divisors, whose sum is σ = 13092941573682. Its totient is φ = 13092941573680.

The previous prime is 13092941573629. The next prime is 13092941573683. The reversal of 13092941573681 is 18637514929031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7626655489600 + 5466286084081 = 2761640^2 + 2338009^2 .

It is a cyclic number.

It is not a de Polignac number, because 13092941573681 - 230 = 13091867831857 is a prime.

It is a super-3 number, since 3×130929415736813 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 13092941573683, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13092941573681.

It is not a weakly prime, because it can be changed into another prime (13092941573683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6546470786840 + 6546470786841.

It is an arithmetic number, because the mean of its divisors is an integer number (6546470786841).

It is a 1-persistent number, because it is pandigital, but 2⋅13092941573681 = 26185883147362 is not.

Almost surely, 213092941573681 is an apocalyptic number.

It is an amenable number.

13092941573681 is a deficient number, since it is larger than the sum of its proper divisors (1).

13092941573681 is an equidigital number, since it uses as much as digits as its factorization.

13092941573681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9797760, while the sum is 59.

The spelling of 13092941573681 in words is "thirteen trillion, ninety-two billion, nine hundred forty-one million, five hundred seventy-three thousand, six hundred eighty-one".