10131311121103 has 2 divisors, whose sum is σ = 10131311121104. Its totient is φ = 10131311121102.

The previous prime is 10131311121097. The next prime is 10131311121119. The reversal of 10131311121103 is 30112111313101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10131311121103 - 2²⁵ = 10131277566671 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131311121163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065655560551 + 5065655560552.

It is an arithmetic number, because the mean of its divisors is an integer number (5065655560552).

Almost surely, 2^{10131311121103} is an apocalyptic number.

10131311121103 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131311121103 is an equidigital number, since it uses as much as digits as its factorization.

10131311121103 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 19.

Adding to 10131311121103 its reverse (30112111313101), we get a palindrome (40243422434204).

The spelling of 10131311121103 in words is "ten trillion, one hundred thirty-one billion, three hundred eleven million, one hundred twenty-one thousand, one hundred three".