100011031 has 2 divisors, whose sum is σ = 100011032. Its totient is φ = 100011030.

The previous prime is 100011029. The next prime is 100011047. The reversal of 100011031 is 130110001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100011031 - 2¹ = 100011029 is a prime.

It is a super-2 number, since 2×100011031² = 20004412643365922, which contains 22 as substring.

Together with 100011029, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005515 + 50005516.

It is an arithmetic number, because the mean of its divisors is an integer number (50005516).

Almost surely, 2^100011031 is an apocalyptic number.

100011031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011031 is an equidigital number, since it uses as much as digits as its factorization.

100011031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 100011031 is about 10000.5515347905. The cubic root of 100011031 is about 464.1759498559.

Adding to 100011031 its reverse (130110001), we get a palindrome (230121032).

The spelling of 100011031 in words is "one hundred million, eleven thousand, thirty-one".