100213203113 has 8 divisors (see below), whose sum is σ = 102933110280. Its totient is φ = 97493898240.

The previous prime is 100213203107. The next prime is 100213203121. The reversal of 100213203113 is 311302312001.

It can be written as a sum of positive squares in 4 ways, for example, as 30892632169 + 69320570944 = 175763^2 + 263288^2 .

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 100213203113 - 2⁸ = 100213202857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100213203091 and 100213203100.

It is not an unprimeable number, because it can be changed into a prime (100213203143) 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, 197483 + ... + 489311.

It is an arithmetic number, because the mean of its divisors is an integer number (12866638785).

Almost surely, 2^100213203113 is an apocalyptic number.

It is an amenable number.

100213203113 is a deficient number, since it is larger than the sum of its proper divisors (2719907167).

100213203113 is an equidigital number, since it uses as much as digits as its factorization.

100213203113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301147.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100213203113 its reverse (311302312001), we get a palindrome (411515515114).

The spelling of 100213203113 in words is "one hundred billion, two hundred thirteen million, two hundred three thousand, one hundred thirteen".