213105155200 has 576 divisors, whose sum is σ = 649491242400. Its totient is φ = 68697538560.

The previous prime is 213105155161. The next prime is 213105155201. The reversal of 213105155200 is 2551501312.

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 (213105155201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 694153447 + ... + 694153753.

Almost surely, 2^213105155200 is an apocalyptic number.

213105155200 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 213105155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324745621200).

213105155200 is an abundant number, since it is smaller than the sum of its proper divisors (436386087200).

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

213105155200 is a wasteful number, since it uses less digits than its factorization.

213105155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 213105155200 its reverse (2551501312), we get a palindrome (215656656512).

The spelling of 213105155200 in words is "two hundred thirteen billion, one hundred five million, one hundred fifty-five thousand, two hundred".