100313333021 has 16 divisors (see below), whose sum is σ = 113646853440. Its totient is φ = 87706644480.

The previous prime is 100313333011. The next prime is 100313333051. The reversal of 100313333021 is 120333313001.

It is a cyclic number.

It is not a de Polignac number, because 100313333021 - 2¹⁴ = 100313316637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100313332984 and 100313333002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313333011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529811 + ... + 693776.

It is an arithmetic number, because the mean of its divisors is an integer number (7102928340).

Almost surely, 2^100313333021 is an apocalyptic number.

100313333021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100313333021 is a deficient number, since it is larger than the sum of its proper divisors (13333520419).

100313333021 is a wasteful number, since it uses less digits than its factorization.

100313333021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223884.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 100313333021 its reverse (120333313001), we get a palindrome (220646646022).

It can be divided in two parts, 100313 and 333021, that added together give a palindrome (433334).

The spelling of 100313333021 in words is "one hundred billion, three hundred thirteen million, three hundred thirty-three thousand, twenty-one".