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13222330013 is a prime number
BaseRepresentation
bin11000101000001110…
…01011111010011101
31021010111010221220102
430110013023322131
5204034404030023
610024012230445
7645442644044
oct142407137235
937114127812
1013222330013
11567572a272
12269016b425
131329476b19
148d60c155b
15525c1c628
hex3141cbe9d

13222330013 has 2 divisors, whose sum is σ = 13222330014. Its totient is φ = 13222330012.

The previous prime is 13222329979. The next prime is 13222330081. The reversal of 13222330013 is 31003322231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11964421924 + 1257908089 = 109382^2 + 35467^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13222330013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13222336013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6611165006 + 6611165007.

It is an arithmetic number, because the mean of its divisors is an integer number (6611165007).

Almost surely, 213222330013 is an apocalyptic number.

It is an amenable number.

13222330013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13222330013 is an equidigital number, since it uses as much as digits as its factorization.

13222330013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13222330013 its reverse (31003322231), we get a palindrome (44225652244).

The spelling of 13222330013 in words is "thirteen billion, two hundred twenty-two million, three hundred thirty thousand, thirteen".