213353202400000 has 432 divisors, whose sum is σ = 577633550399136. Its totient is φ = 78174720000000.

The previous prime is 213353202399983. The next prime is 213353202400003. The reversal of 213353202400000 is 4202353312.

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

It is not an unprimeable number, because it can be changed into a prime (213353202400003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1362321700 + ... + 1362478300.

It is an arithmetic number, because the mean of its divisors is an integer number (1337114699998).

Almost surely, 2^{213353202400000} is an apocalyptic number.

213353202400000 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 213353202400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288816775199568).

213353202400000 is an abundant number, since it is smaller than the sum of its proper divisors (364280347999136).

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

213353202400000 is an equidigital number, since it uses as much as digits as its factorization.

213353202400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156786 (or 156752 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 213353202400000 its reverse (4202353312), we get a palindrome (213357404753312).

The spelling of 213353202400000 in words is "two hundred thirteen trillion, three hundred fifty-three billion, two hundred two million, four hundred thousand".