100313721 has 20 divisors (see below), whose sum is σ = 150218112. Its totient is φ = 66712248.

The previous prime is 100313701. The next prime is 100313767. The reversal of 100313721 is 127313001.

It is not a de Polignac number, because 100313721 - 2¹⁸ = 100051577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100313694 and 100313703.

It is not an unprimeable number, because it can be changed into a prime (100313701) 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 19 ways as a sum of consecutive naturals, for example, 38176 + ... + 40718.

Almost surely, 2^100313721 is an apocalyptic number.

It is an amenable number.

100313721 is a deficient number, since it is larger than the sum of its proper divisors (49904391).

100313721 is an equidigital number, since it uses as much as digits as its factorization.

100313721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 100313721 is about 10015.6737666519. The cubic root of 100313721 is about 464.6437646196.

Adding to 100313721 its reverse (127313001), we get a palindrome (227626722).

The spelling of 100313721 in words is "one hundred million, three hundred thirteen thousand, seven hundred twenty-one".