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111313132322201 is a prime number
BaseRepresentation
bin11001010011110100011011…
…101101011111110110011001
3112121010102122120200022201222
4121103310123231133312121
5104042223243333302301
61032424314054421425
732306052121221005
oct3123643355376631
9477112576608658
10111313132322201
11325166a82a5427
1210599292961875
134a15a24cba044
141d6b82765b705
15cd079b4c631b
hex653d1bb5fd99

111313132322201 has 2 divisors, whose sum is σ = 111313132322202. Its totient is φ = 111313132322200.

The previous prime is 111313132322099. The next prime is 111313132322221. The reversal of 111313132322201 is 102223231313111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98290885758976 + 13022246563225 = 9914176^2 + 3608635^2 .

It is a cyclic number.

It is not a de Polignac number, because 111313132322201 - 218 = 111313132060057 is a prime.

It is a super-2 number, since 2×1113131323222012 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111313132322221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55656566161100 + 55656566161101.

It is an arithmetic number, because the mean of its divisors is an integer number (55656566161101).

Almost surely, 2111313132322201 is an apocalyptic number.

It is an amenable number.

111313132322201 is a deficient number, since it is larger than the sum of its proper divisors (1).

111313132322201 is an equidigital number, since it uses as much as digits as its factorization.

111313132322201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 111313132322201 its reverse (102223231313111), we get a palindrome (213536363635312).

The spelling of 111313132322201 in words is "one hundred eleven trillion, three hundred thirteen billion, one hundred thirty-two million, three hundred twenty-two thousand, two hundred one".