213100917120 has 1280 divisors, whose sum is σ = 945495936000. Its totient is φ = 44538937344.

The previous prime is 213100917119. The next prime is 213100917167. The reversal of 213100917120 is 21719001312.

213100917120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 938770447 + ... + 938770673.

It is an arithmetic number, because the mean of its divisors is an integer number (738668700).

Almost surely, 2^213100917120 is an apocalyptic number.

213100917120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213100917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472747968000).

213100917120 is an abundant number, since it is smaller than the sum of its proper divisors (732395018880).

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

213100917120 is a wasteful number, since it uses less digits than its factorization.

213100917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

Adding to 213100917120 its reverse (21719001312), we get a palindrome (234819918432).

The spelling of 213100917120 in words is "two hundred thirteen billion, one hundred million, nine hundred seventeen thousand, one hundred twenty".