213101112013 has 8 divisors (see below), whose sum is σ = 215507037240. Its totient is φ = 210695443200.

The previous prime is 213101111999. The next prime is 213101112017. The reversal of 213101112013 is 310211101312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10584911689 + 202516200324 = 102883^2 + 450018^2 .

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 213101112013 - 2⁹ = 213101111501 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 (213101112017) 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, 1969113 + ... + 2074513.

It is an arithmetic number, because the mean of its divisors is an integer number (26938379655).

Almost surely, 2^213101112013 is an apocalyptic number.

It is an amenable number.

213101112013 is a deficient number, since it is larger than the sum of its proper divisors (2405925227).

213101112013 is a wasteful number, since it uses less digits than its factorization.

213101112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128207.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 213101112013 its reverse (310211101312), we get a palindrome (523312213325).

The spelling of 213101112013 in words is "two hundred thirteen billion, one hundred one million, one hundred twelve thousand, thirteen".