213301031120 has 20 divisors (see below), whose sum is σ = 495924897540. Its totient is φ = 85320412416.

The previous prime is 213301031107. The next prime is 213301031131. The reversal of 213301031120 is 21130103312.

213301031120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 113957555776 + 99343475344 = 337576^2 + 315188^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 1333131365 + ... + 1333131524.

It is an arithmetic number, because the mean of its divisors is an integer number (24796244877).

Almost surely, 2^213301031120 is an apocalyptic number.

213301031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213301031120 is an abundant number, since it is smaller than the sum of its proper divisors (282623866420).

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

213301031120 is a wasteful number, since it uses less digits than its factorization.

213301031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666262902 (or 2666262896 counting only the distinct ones).

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

Adding to 213301031120 its reverse (21130103312), we get a palindrome (234431134432).

The spelling of 213301031120 in words is "two hundred thirteen billion, three hundred one million, thirty-one thousand, one hundred twenty".