100313211 has 16 divisors (see below), whose sum is σ = 135129600. Its totient is φ = 66190368.

The previous prime is 100313203. The next prime is 100313231. The reversal of 100313211 is 112313001.

It is not a de Polignac number, because 100313211 - 2³ = 100313203 is a prime.

It is a super-2 number, since 2×100313211² = 20125480602261042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100313201) 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 in 15 ways as a sum of consecutive naturals, for example, 196825 + ... + 197333.

It is an arithmetic number, because the mean of its divisors is an integer number (8445600).

Almost surely, 2^100313211 is an apocalyptic number.

100313211 is a deficient number, since it is larger than the sum of its proper divisors (34816389).

100313211 is a wasteful number, since it uses less digits than its factorization.

100313211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 100313211 is about 10015.6483065251. The cubic root of 100313211 is about 464.6429771942.

Adding to 100313211 its reverse (112313001), we get a palindrome (212626212).

The spelling of 100313211 in words is "one hundred million, three hundred thirteen thousand, two hundred eleven".