213011100113 has 16 divisors (see below), whose sum is σ = 243734520960. Its totient is φ = 182361129216.

The previous prime is 213011100103. The next prime is 213011100143. The reversal of 213011100113 is 311001110312.

It is a happy number.

213011100113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213011100113 - 2⁴ = 213011100097 is a prime.

It is a super-2 number, since 2×213011100113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213011100103) 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 15 ways as a sum of consecutive naturals, for example, 38219195 + ... + 38224767.

It is an arithmetic number, because the mean of its divisors is an integer number (15233407560).

Almost surely, 2^213011100113 is an apocalyptic number.

It is an amenable number.

213011100113 is a deficient number, since it is larger than the sum of its proper divisors (30723420847).

213011100113 is a wasteful number, since it uses less digits than its factorization.

213011100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11176.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 213011100113 its reverse (311001110312), we get a palindrome (524012210425).

The spelling of 213011100113 in words is "two hundred thirteen billion, eleven million, one hundred thousand, one hundred thirteen".