100013071 has 2 divisors, whose sum is σ = 100013072. Its totient is φ = 100013070.

The previous prime is 100013027. The next prime is 100013087. The reversal of 100013071 is 170310001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100013071 - 2¹⁵ = 99980303 is a prime.

It is a super-2 number, since 2×100013071² = 20005228741702082, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100013021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006535 + 50006536.

It is an arithmetic number, because the mean of its divisors is an integer number (50006536).

Almost surely, 2^100013071 is an apocalyptic number.

100013071 is a deficient number, since it is larger than the sum of its proper divisors (1).

100013071 is an equidigital number, since it uses as much as digits as its factorization.

100013071 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 100013071 is about 10000.6535286450. The cubic root of 100013071 is about 464.1791058828.

Adding to 100013071 its reverse (170310001), we get a palindrome (270323072).

The spelling of 100013071 in words is "one hundred million, thirteen thousand, seventy-one".