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1131332010113 is a prime number
BaseRepresentation
bin10000011101101000101…
…001001000000010000001
311000011011110202210110202
4100131220221020002001
5122013431443310423
62223420551134545
7144510314263544
oct20355051100201
94004143683422
101131332010113
113a6882475a28
12163314974455
13828b8105226
143ca847a685b
151e6664de728
hex10768a48081

1131332010113 has 2 divisors, whose sum is σ = 1131332010114. Its totient is φ = 1131332010112.

The previous prime is 1131332010079. The next prime is 1131332010157. The reversal of 1131332010113 is 3110102331311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1068727966849 + 62604043264 = 1033793^2 + 250208^2 .

It is a cyclic number.

It is not a de Polignac number, because 1131332010113 - 218 = 1131331747969 is a prime.

It is a super-2 number, since 2×11313320101132 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1131332010713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 565666005056 + 565666005057.

It is an arithmetic number, because the mean of its divisors is an integer number (565666005057).

Almost surely, 21131332010113 is an apocalyptic number.

It is an amenable number.

1131332010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1131332010113 is an equidigital number, since it uses as much as digits as its factorization.

1131332010113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1131332010113 its reverse (3110102331311), we get a palindrome (4241434341424).

The spelling of 1131332010113 in words is "one trillion, one hundred thirty-one billion, three hundred thirty-two million, ten thousand, one hundred thirteen".