213130134120 has 128 divisors (see below), whose sum is σ = 674041564800. Its totient is φ = 53763480576.

The previous prime is 213130134067. The next prime is 213130134131. The reversal of 213130134120 is 21431031312.

213130134120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1474522 + ... + 1612598.

It is an arithmetic number, because the mean of its divisors is an integer number (5265949725).

Almost surely, 2^213130134120 is an apocalyptic number.

213130134120 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 213130134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337020782400).

213130134120 is an abundant number, since it is smaller than the sum of its proper divisors (460911430680).

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

213130134120 is a wasteful number, since it uses less digits than its factorization.

213130134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138787 (or 138783 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213130134120 its reverse (21431031312), we get a palindrome (234561165432).

The spelling of 213130134120 in words is "two hundred thirteen billion, one hundred thirty million, one hundred thirty-four thousand, one hundred twenty".