100313941 has 16 divisors (see below), whose sum is σ = 125313664. Its totient is φ = 78179904.

The previous prime is 100313897. The next prime is 100313953. The reversal of 100313941 is 149313001.

It is a cyclic number.

It is not a de Polignac number, because 100313941 - 2¹⁷ = 100182869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313041) 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, 2130 + ... + 14323.

It is an arithmetic number, because the mean of its divisors is an integer number (7832104).

Almost surely, 2^100313941 is an apocalyptic number.

It is an amenable number.

100313941 is a deficient number, since it is larger than the sum of its proper divisors (24999723).

100313941 is a wasteful number, since it uses less digits than its factorization.

100313941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16540.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 100313941 is about 10015.6847494318. The cubic root of 100313941 is about 464.6441042925.

Adding to 100313941 its reverse (149313001), we get a palindrome (249626942).

The spelling of 100313941 in words is "one hundred million, three hundred thirteen thousand, nine hundred forty-one".