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13121331029 is a prime number
BaseRepresentation
bin11000011100001011…
…11001111101010101
31020212110002200100022
430032011321331111
5203333030043104
610010003354525
7643105321262
oct141605717525
936773080308
1013121331029
115623716234
122662382a45
131311573701
148c6910269
1551be1bbbe
hex30e179f55

13121331029 has 2 divisors, whose sum is σ = 13121331030. Its totient is φ = 13121331028.

The previous prime is 13121330951. The next prime is 13121331071. The reversal of 13121331029 is 92013312131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11825475025 + 1295856004 = 108745^2 + 35998^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121331029 - 28 = 13121330773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13121330989 and 13121331007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121331829) 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, 6560665514 + 6560665515.

It is an arithmetic number, because the mean of its divisors is an integer number (6560665515).

Almost surely, 213121331029 is an apocalyptic number.

It is an amenable number.

13121331029 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121331029 is an equidigital number, since it uses as much as digits as its factorization.

13121331029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 13121331029 in words is "thirteen billion, one hundred twenty-one million, three hundred thirty-one thousand, twenty-nine".