213002211114 has 128 divisors (see below), whose sum is σ = 593671680000. Its totient is φ = 54993781440.

The previous prime is 213002211113. The next prime is 213002211131. The reversal of 213002211114 is 411112200312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213002211113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 541012 + ... + 847760.

It is an arithmetic number, because the mean of its divisors is an integer number (4638060000).

Almost surely, 2^213002211114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213002211114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296835840000).

213002211114 is an abundant number, since it is smaller than the sum of its proper divisors (380669468886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213002211114 is a wasteful number, since it uses less digits than its factorization.

213002211114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306945 (or 306939 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 213002211114 its reverse (411112200312), we get a palindrome (624114411426).

The spelling of 213002211114 in words is "two hundred thirteen billion, two million, two hundred eleven thousand, one hundred fourteen".