1001112103031 has 2 divisors, whose sum is σ = 1001112103032. Its totient is φ = 1001112103030.

The previous prime is 1001112102989. The next prime is 1001112103037. The reversal of 1001112103031 is 1303012111001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001112103031 is a prime.

It is a super-2 number, since 2×1001112103031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001112102997 and 1001112103015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001112103037) 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, 500556051515 + 500556051516.

It is an arithmetic number, because the mean of its divisors is an integer number (500556051516).

Almost surely, 2^{1001112103031} is an apocalyptic number.

1001112103031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001112103031 is an equidigital number, since it uses as much as digits as its factorization.

1001112103031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1001112103031 its reverse (1303012111001), we get a palindrome (2304124214032).

The spelling of 1001112103031 in words is "one trillion, one billion, one hundred twelve million, one hundred three thousand, thirty-one".