213410013600 has 432 divisors, whose sum is σ = 809269828416. Its totient is φ = 48706560000.

The previous prime is 213410013599. The next prime is 213410013631. The reversal of 213410013600 is 6310014312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141236845 + ... + 141238355.

It is an arithmetic number, because the mean of its divisors is an integer number (1873309788).

Almost surely, 2^213410013600 is an apocalyptic number.

213410013600 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 213410013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404634914208).

213410013600 is an abundant number, since it is smaller than the sum of its proper divisors (595859814816).

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

213410013600 is a wasteful number, since it uses less digits than its factorization.

213410013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213410013600 its reverse (6310014312), we get a palindrome (219720027912).

The spelling of 213410013600 in words is "two hundred thirteen billion, four hundred ten million, thirteen thousand, six hundred".