10131111122123 has 2 divisors, whose sum is σ = 10131111122124. Its totient is φ = 10131111122122.

The previous prime is 10131111122063. The next prime is 10131111122149. The reversal of 10131111122123 is 32122111113101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10131111122123 - 2¹⁰ = 10131111121099 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10131111122095 and 10131111122104.

It is not a weakly prime, because it can be changed into another prime (10131111122323) 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, 5065555561061 + 5065555561062.

It is an arithmetic number, because the mean of its divisors is an integer number (5065555561062).

Almost surely, 2^{10131111122123} is an apocalyptic number.

10131111122123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131111122123 is an equidigital number, since it uses as much as digits as its factorization.

10131111122123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 10131111122123 its reverse (32122111113101), we get a palindrome (42253222235224).

The spelling of 10131111122123 in words is "ten trillion, one hundred thirty-one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty-three".