213001444120 has 32 divisors (see below), whose sum is σ = 479298186720. Its totient is φ = 85192588800.

The previous prime is 213001444111. The next prime is 213001444129. The reversal of 213001444120 is 21444100312.

It is a happy number.

213001444120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213001444111) and next prime (213001444129).

It is a junction number, because it is equal to n+sod(n) for n = 213001444091 and 213001444100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213001444129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191920 + ... + 680320.

It is an arithmetic number, because the mean of its divisors is an integer number (14978068335).

Almost surely, 2^213001444120 is an apocalyptic number.

213001444120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213001444120 is an abundant number, since it is smaller than the sum of its proper divisors (266296742600).

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

213001444120 is a wasteful number, since it uses less digits than its factorization.

213001444120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499315 (or 499311 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 213001444120 its reverse (21444100312), we get a palindrome (234445544432).

The spelling of 213001444120 in words is "two hundred thirteen billion, one million, four hundred forty-four thousand, one hundred twenty".