213413321520 has 480 divisors, whose sum is σ = 863423308800. Its totient is φ = 46147885056.

The previous prime is 213413321509. The next prime is 213413321659. The reversal of 213413321520 is 25123314312.

213413321520 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 133 + 2 + 1 + 520 = 666.

It is a super-2 number, since 2×213413321520² (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, 104664661 + ... + 104666699.

It is an arithmetic number, because the mean of its divisors is an integer number (1798798560).

Almost surely, 2^213413321520 is an apocalyptic number.

213413321520 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 213413321520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431711654400).

213413321520 is an abundant number, since it is smaller than the sum of its proper divisors (650009987280).

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

213413321520 is a wasteful number, since it uses less digits than its factorization.

213413321520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 213413321520 its reverse (25123314312), we get a palindrome (238536635832).

The spelling of 213413321520 in words is "two hundred thirteen billion, four hundred thirteen million, three hundred twenty-one thousand, five hundred twenty".