213120040 has 128 divisors (see below), whose sum is σ = 579870720. Its totient is φ = 68947200.

The previous prime is 213120029. The next prime is 213120107. The reversal of 213120040 is 40021312.

213120040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213120040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372955 + ... + 373525.

It is an arithmetic number, because the mean of its divisors is an integer number (4530240).

Almost surely, 2^213120040 is an apocalyptic number.

213120040 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 213120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289935360).

213120040 is an abundant number, since it is smaller than the sum of its proper divisors (366750680).

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

213120040 is a wasteful number, since it uses less digits than its factorization.

213120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 213120040 is about 14598.6314427072. The cubic root of 213120040 is about 597.3214302719.

Adding to 213120040 its reverse (40021312), we get a palindrome (253141352).

The spelling of 213120040 in words is "two hundred thirteen million, one hundred twenty thousand, forty".