213002431040 has 224 divisors, whose sum is σ = 588976012800. Its totient is φ = 71861207040.

The previous prime is 213002430989. The next prime is 213002431051. The reversal of 213002431040 is 40134200312.

213002431040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 112758416 + ... + 112760304.

It is an arithmetic number, because the mean of its divisors is an integer number (2629357200).

Almost surely, 2^213002431040 is an apocalyptic number.

213002431040 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 213002431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294488006400).

213002431040 is an abundant number, since it is smaller than the sum of its proper divisors (375973581760).

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

213002431040 is a wasteful number, since it uses less digits than its factorization.

213002431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 213002431040 its reverse (40134200312), we get a palindrome (253136631352).

The spelling of 213002431040 in words is "two hundred thirteen billion, two million, four hundred thirty-one thousand, forty".