110331131310031 has 2 divisors, whose sum is σ = 110331131310032. Its totient is φ = 110331131310030.

The previous prime is 110331131310007. The next prime is 110331131310041. The reversal of 110331131310031 is 130013131133011.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110331131310031 is a prime.

It is a super-2 number, since 2×110331131310031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110331131309984 and 110331131310011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110331131310041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55165565655015 + 55165565655016.

It is an arithmetic number, because the mean of its divisors is an integer number (55165565655016).

Almost surely, 2^{110331131310031} is an apocalyptic number.

110331131310031 is a deficient number, since it is larger than the sum of its proper divisors (1).

110331131310031 is an equidigital number, since it uses as much as digits as its factorization.

110331131310031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 110331131310031 its reverse (130013131133011), we get a palindrome (240344262443042).

The spelling of 110331131310031 in words is "one hundred ten trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred ten thousand, thirty-one".