1102113131081 has 2 divisors, whose sum is σ = 1102113131082. Its totient is φ = 1102113131080.

The previous prime is 1102113131017. The next prime is 1102113131113. The reversal of 1102113131081 is 1801313112011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 884662519225 + 217450611856 = 940565^2 + 466316^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102113131081 - 2⁶ = 1102113131017 is a prime.

It is a super-2 number, since 2×1102113131081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1102113131381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551056565540 + 551056565541.

It is an arithmetic number, because the mean of its divisors is an integer number (551056565541).

Almost surely, 2^{1102113131081} is an apocalyptic number.

It is an amenable number.

1102113131081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102113131081 is an equidigital number, since it uses as much as digits as its factorization.

1102113131081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

Adding to 1102113131081 its reverse (1801313112011), we get a palindrome (2903426243092).

The spelling of 1102113131081 in words is "one trillion, one hundred two billion, one hundred thirteen million, one hundred thirty-one thousand, eighty-one".