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13133102321 is a prime number
BaseRepresentation
bin11000011101100101…
…10011110011110001
31020220021020201112002
430032302303303301
5203344033233241
610011103543345
7643310346023
oct141662636361
936807221462
1013133102321
11562a326179
1226662bab55
131313b35581
148c82d6013
1551ce9489b
hex30ecb3cf1

13133102321 has 2 divisors, whose sum is σ = 13133102322. Its totient is φ = 13133102320.

The previous prime is 13133102267. The next prime is 13133102369. The reversal of 13133102321 is 12320133131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7213954225 + 5919148096 = 84935^2 + 76936^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13133102321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13133102293 and 13133102302.

It is not a weakly prime, because it can be changed into another prime (13133102621) 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, 6566551160 + 6566551161.

It is an arithmetic number, because the mean of its divisors is an integer number (6566551161).

Almost surely, 213133102321 is an apocalyptic number.

It is an amenable number.

13133102321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133102321 is an equidigital number, since it uses as much as digits as its factorization.

13133102321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13133102321 its reverse (12320133131), we get a palindrome (25453235452).

The spelling of 13133102321 in words is "thirteen billion, one hundred thirty-three million, one hundred two thousand, three hundred twenty-one".