213532012243040 has 192 divisors, whose sum is σ = 537147673352640. Its totient is φ = 79986312806400.

The previous prime is 213532012243037. The next prime is 213532012243057. The reversal of 213532012243040 is 40342210235312.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 213532012242988 and 213532012243006.

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, 188880104 + ... + 190007256.

It is an arithmetic number, because the mean of its divisors is an integer number (2797644132045).

Almost surely, 2^{213532012243040} is an apocalyptic number.

213532012243040 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 213532012243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268573836676320).

213532012243040 is an abundant number, since it is smaller than the sum of its proper divisors (323615661109600).

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

213532012243040 is a wasteful number, since it uses less digits than its factorization.

213532012243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127905 (or 1127897 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 213532012243040 its reverse (40342210235312), we get a palindrome (253874222478352).

The spelling of 213532012243040 in words is "two hundred thirteen trillion, five hundred thirty-two billion, twelve million, two hundred forty-three thousand, forty".