100313021 has 2 divisors, whose sum is σ = 100313022. Its totient is φ = 100313020.

The previous prime is 100312963. The next prime is 100313033. The reversal of 100313021 is 120313001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99780121 + 532900 = 9989^2 + 730^2 .

It is a cyclic number.

It is not a de Polignac number, because 100313021 - 2¹⁰ = 100311997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100312993 and 100313011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100313041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156510 + 50156511.

It is an arithmetic number, because the mean of its divisors is an integer number (50156511).

Almost surely, 2^100313021 is an apocalyptic number.

It is an amenable number.

100313021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313021 is an equidigital number, since it uses as much as digits as its factorization.

100313021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 100313021 is about 10015.6388213633. The cubic root of 100313021 is about 464.6426838389.

Adding to 100313021 its reverse (120313001), we get a palindrome (220626022).

The spelling of 100313021 in words is "one hundred million, three hundred thirteen thousand, twenty-one".