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13221131112029 is a prime number
BaseRepresentation
bin1100000001100100100011…
…0100101100111001011101
31201210221001100200221000202
43000121020310230321131
53213103334031041104
644041412003433245
72533123645135121
oct300311064547135
951727040627022
1013221131112029
114238060925145
121596416085825
1374b993b07079
14339c98709581
1517dda2d0651e
hexc0648d2ce5d

13221131112029 has 2 divisors, whose sum is σ = 13221131112030. Its totient is φ = 13221131112028.

The previous prime is 13221131111939. The next prime is 13221131112037. The reversal of 13221131112029 is 92021113112231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8674043999929 + 4547087112100 = 2945173^2 + 2132390^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13221131112029 is a prime.

It is a super-2 number, since 2×132211311120292 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13221131111992 and 13221131112010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13221131112089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610565556014 + 6610565556015.

It is an arithmetic number, because the mean of its divisors is an integer number (6610565556015).

Almost surely, 213221131112029 is an apocalyptic number.

It is an amenable number.

13221131112029 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221131112029 is an equidigital number, since it uses as much as digits as its factorization.

13221131112029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 13221131112029 in words is "thirteen trillion, two hundred twenty-one billion, one hundred thirty-one million, one hundred twelve thousand, twenty-nine".