100213002230113 has 8 divisors (see below), whose sum is σ = 107216671929920. Its totient is φ = 93382262646480.

The previous prime is 100213002230087. The next prime is 100213002230161. The reversal of 100213002230113 is 311032200312001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100213002230113 is a prime.

It is a super-2 number, since 2×100213002230113² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100213002230513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43232527845 + ... + 43232530162.

It is an arithmetic number, because the mean of its divisors is an integer number (13402083991240).

Almost surely, 2^{100213002230113} is an apocalyptic number.

It is an amenable number.

100213002230113 is a deficient number, since it is larger than the sum of its proper divisors (7003669699807).

100213002230113 is an equidigital number, since it uses as much as digits as its factorization.

100213002230113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86465058087.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100213002230113 its reverse (311032200312001), we get a palindrome (411245202542114).

The spelling of 100213002230113 in words is "one hundred trillion, two hundred thirteen billion, two million, two hundred thirty thousand, one hundred thirteen".