100213113301 has 8 divisors (see below), whose sum is σ = 114974913600. Its totient is φ = 85562723328.

The previous prime is 100213113233. The next prime is 100213113307. The reversal of 100213113301 is 103311312001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100213113301 - 2⁹ = 100213112789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213113307) 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 in 7 ways as a sum of consecutive naturals, for example, 27850651 + ... + 27854248.

It is an arithmetic number, because the mean of its divisors is an integer number (14371864200).

Almost surely, 2^100213113301 is an apocalyptic number.

It is an amenable number.

100213113301 is a deficient number, since it is larger than the sum of its proper divisors (14761800299).

100213113301 is an equidigital number, since it uses as much as digits as its factorization.

100213113301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55705163.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100213113301 its reverse (103311312001), we get a palindrome (203524425302).

The spelling of 100213113301 in words is "one hundred billion, two hundred thirteen million, one hundred thirteen thousand, three hundred one".