100018031 has 2 divisors, whose sum is σ = 100018032. Its totient is φ = 100018030.

The previous prime is 100018019. The next prime is 100018057. The reversal of 100018031 is 130810001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100018031 - 2²⁶ = 32909167 is a prime.

It is a super-2 number, since 2×100018031² = 20007213050233922, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100017997 and 100018015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100018001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50009015 + 50009016.

It is an arithmetic number, because the mean of its divisors is an integer number (50009016).

Almost surely, 2^100018031 is an apocalyptic number.

100018031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100018031 is an equidigital number, since it uses as much as digits as its factorization.

100018031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 100018031 is about 10000.9015093640. The cubic root of 100018031 is about 464.1867791808.

Adding to 100018031 its reverse (130810001), we get a palindrome (230828032).

The spelling of 100018031 in words is "one hundred million, eighteen thousand, thirty-one".