213521000000 has 784 divisors, whose sum is σ = 685791221760. Its totient is φ = 64032000000.

The previous prime is 213520999981. The next prime is 213521000009. The reversal of 213521000000 is 125312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (213521000009) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3618999971 + ... + 3619000029.

Almost surely, 2^213521000000 is an apocalyptic number.

213521000000 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 213521000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342895610880).

213521000000 is an abundant number, since it is smaller than the sum of its proper divisors (472270221760).

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

213521000000 is an frugal number, since it uses more digits than its factorization.

213521000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 213521000000 its reverse (125312), we get a palindrome (213521125312).

The spelling of 213521000000 in words is "two hundred thirteen billion, five hundred twenty-one million", and thus it is an aban number.