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12213310113001 is a prime number
BaseRepresentation
bin1011000110111010001000…
…0000101100010011101001
31121020120200120200120211001
42301232202000230103221
53100100324342104001
641550414530035001
72400245132033464
oct261564200542351
947216616616731
1012213310113001
1139896aa181998
121453030a18a61
136a793040c66a
143031ad6b22db
15162a69b52001
hexb1ba202c4e9

12213310113001 has 2 divisors, whose sum is σ = 12213310113002. Its totient is φ = 12213310113000.

The previous prime is 12213310112987. The next prime is 12213310113007. The reversal of 12213310113001 is 10031101331221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8810211240000 + 3403098873001 = 2968200^2 + 1844749^2 .

It is a cyclic number.

It is not a de Polignac number, because 12213310113001 - 221 = 12213308015849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12213310113001.

It is not a weakly prime, because it can be changed into another prime (12213310113007) 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, 6106655056500 + 6106655056501.

It is an arithmetic number, because the mean of its divisors is an integer number (6106655056501).

Almost surely, 212213310113001 is an apocalyptic number.

It is an amenable number.

12213310113001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12213310113001 is an equidigital number, since it uses as much as digits as its factorization.

12213310113001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 12213310113001 its reverse (10031101331221), we get a palindrome (22244411444222).

The spelling of 12213310113001 in words is "twelve trillion, two hundred thirteen billion, three hundred ten million, one hundred thirteen thousand, one".