1100103231113 has 2 divisors, whose sum is σ = 1100103231114. Its totient is φ = 1100103231112.

The previous prime is 1100103231041. The next prime is 1100103231119. The reversal of 1100103231113 is 3111323010011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 994561414729 + 105541816384 = 997277^2 + 324872^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100103231113 - 2⁸ = 1100103230857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100103231091 and 1100103231100.

It is not a weakly prime, because it can be changed into another prime (1100103231119) 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, 550051615556 + 550051615557.

It is an arithmetic number, because the mean of its divisors is an integer number (550051615557).

Almost surely, 2^{1100103231113} is an apocalyptic number.

It is an amenable number.

1100103231113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100103231113 is an equidigital number, since it uses as much as digits as its factorization.

1100103231113 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1100103231113 its reverse (3111323010011), we get a palindrome (4211426241124).

The spelling of 1100103231113 in words is "one trillion, one hundred billion, one hundred three million, two hundred thirty-one thousand, one hundred thirteen".