100213330 has 24 divisors (see below), whose sum is σ = 209835468. Its totient is φ = 34358688.

The previous prime is 100213313. The next prime is 100213331. The reversal of 100213330 is 33312001.

It can be written as a sum of positive squares in 2 ways, for example, as 96177249 + 4036081 = 9807^2 + 2009^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100213330.

It is not an unprimeable number, because it can be changed into a prime (100213331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101769 + ... + 102748.

Almost surely, 2^100213330 is an apocalyptic number.

100213330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100213330 is an abundant number, since it is smaller than the sum of its proper divisors (109622138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100213330 is a wasteful number, since it uses less digits than its factorization.

100213330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204538 (or 204531 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 100213330 is about 10010.6608173487. The cubic root of 100213330 is about 464.4887123129.

Adding to 100213330 its reverse (33312001), we get a palindrome (133525331).

The spelling of 100213330 in words is "one hundred million, two hundred thirteen thousand, three hundred thirty".