213503014240000 has 180 divisors, whose sum is σ = 532576116152080. Its totient is φ = 85396147200000.

The previous prime is 213503014239989. The next prime is 213503014240007. The reversal of 213503014240000 is 42410305312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213503014240007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3910212700 + ... + 3910267300.

Almost surely, 2^{213503014240000} is an apocalyptic number.

213503014240000 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 213503014240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266288058076040).

213503014240000 is an abundant number, since it is smaller than the sum of its proper divisors (319073101912080).

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

213503014240000 is an frugal number, since it uses more digits than its factorization.

213503014240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79076 (or 79047 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 213503014240000 its reverse (42410305312), we get a palindrome (213545424545312).

The spelling of 213503014240000 in words is "two hundred thirteen trillion, five hundred three billion, fourteen million, two hundred forty thousand".