100031089031 has 2 divisors, whose sum is σ = 100031089032. Its totient is φ = 100031089030.

The previous prime is 100031089027. The next prime is 100031089079. The reversal of 100031089031 is 130980130001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100031089031 - 2² = 100031089027 is a prime.

It is a super-2 number, since 2×100031089031² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100031089091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50015544515 + 50015544516.

It is an arithmetic number, because the mean of its divisors is an integer number (50015544516).

Almost surely, 2^100031089031 is an apocalyptic number.

100031089031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100031089031 is an equidigital number, since it uses as much as digits as its factorization.

100031089031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 100031089031 in words is "one hundred billion, thirty-one million, eighty-nine thousand, thirty-one".