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111201331301 is a prime number
BaseRepresentation
bin110011110010000011…
…1011010100001100101
3101122000210220221002222
41213210013122201211
53310220020100201
6123030222242125
711014446502034
oct1474407324145
9348023827088
10111201331301
11431842860a5
1219675126345
13a642369328
14554c97c71b
152d5c7e791b
hex19e41da865

111201331301 has 2 divisors, whose sum is σ = 111201331302. Its totient is φ = 111201331300.

The previous prime is 111201331249. The next prime is 111201331303. The reversal of 111201331301 is 103133102111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107574160225 + 3627171076 = 327985^2 + 60226^2 .

It is a cyclic number.

It is not a de Polignac number, because 111201331301 - 222 = 111197136997 is a prime.

It is a super-2 number, since 2×1112013313012 (a number of 23 digits) contains 22 as substring.

Together with 111201331303, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111201331301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111201331303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55600665650 + 55600665651.

It is an arithmetic number, because the mean of its divisors is an integer number (55600665651).

Almost surely, 2111201331301 is an apocalyptic number.

It is an amenable number.

111201331301 is a deficient number, since it is larger than the sum of its proper divisors (1).

111201331301 is an equidigital number, since it uses as much as digits as its factorization.

111201331301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 111201331301 its reverse (103133102111), we get a palindrome (214334433412).

The spelling of 111201331301 in words is "one hundred eleven billion, two hundred one million, three hundred thirty-one thousand, three hundred one".