213053010240 has 224 divisors, whose sum is σ = 773352702720. Its totient is φ = 48680534016.

The previous prime is 213053010223. The next prime is 213053010253. The reversal of 213053010240 is 42010350312.

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 (21).

It is a congruent number.

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, 37420834 + ... + 37426526.

Almost surely, 2^213053010240 is an apocalyptic number.

213053010240 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 213053010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386676351360).

213053010240 is an abundant number, since it is smaller than the sum of its proper divisors (560299692480).

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

213053010240 is a wasteful number, since it uses less digits than its factorization.

213053010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11289 (or 11279 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 213053010240 its reverse (42010350312), we get a palindrome (255063360552).

The spelling of 213053010240 in words is "two hundred thirteen billion, fifty-three million, ten thousand, two hundred forty".