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13221313037 is a prime number
BaseRepresentation
bin11000101000000110…
…10011101000001101
31021010102020021212122
430110003103220031
5204034124004122
610023534342325
7645431210102
oct142403235015
937112207778
1013221313037
1156750a5199
12268b95a9a5
1313291abc6a
148d5cd8aa9
15525abb142
hex3140d3a0d

13221313037 has 2 divisors, whose sum is σ = 13221313038. Its totient is φ = 13221313036.

The previous prime is 13221313003. The next prime is 13221313073. The reversal of 13221313037 is 73031312231.

Together with next prime (13221313073) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6851038441 + 6370274596 = 82771^2 + 79814^2 .

It is a cyclic number.

It is not a de Polignac number, because 13221313037 - 28 = 13221312781 is a prime.

It is a super-3 number, since 3×132213130373 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13221312997 and 13221313015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13221316037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610656518 + 6610656519.

It is an arithmetic number, because the mean of its divisors is an integer number (6610656519).

Almost surely, 213221313037 is an apocalyptic number.

It is an amenable number.

13221313037 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221313037 is an equidigital number, since it uses as much as digits as its factorization.

13221313037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 26.

Adding to 13221313037 its reverse (73031312231), we get a palindrome (86252625268).

The spelling of 13221313037 in words is "thirteen billion, two hundred twenty-one million, three hundred thirteen thousand, thirty-seven".