213062613120 has 768 divisors, whose sum is σ = 872191457280. Its totient is φ = 46899855360.

The previous prime is 213062613097. The next prime is 213062613131. The reversal of 213062613120 is 21316260312.

213062613120 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 626 + 1 + 31 + 2 + 0 = 666.

It is a super-2 number, since 2×213062613120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 466219932 + ... + 466220388.

It is an arithmetic number, because the mean of its divisors is an integer number (1135665960).

Almost surely, 2^213062613120 is an apocalyptic number.

213062613120 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 213062613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436095728640).

213062613120 is an abundant number, since it is smaller than the sum of its proper divisors (659128844160).

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

213062613120 is a wasteful number, since it uses less digits than its factorization.

213062613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213062613120 its reverse (21316260312), we get a palindrome (234378873432).

The spelling of 213062613120 in words is "two hundred thirteen billion, sixty-two million, six hundred thirteen thousand, one hundred twenty".