213413130 has 240 divisors, whose sum is σ = 705149280. Its totient is φ = 46049472.

The previous prime is 213413119. The next prime is 213413201. The reversal of 213413130 is 31314312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 753969 + ... + 754251.

It is an arithmetic number, because the mean of its divisors is an integer number (2938122).

Almost surely, 2^213413130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213413130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352574640).

213413130 is an abundant number, since it is smaller than the sum of its proper divisors (491736150).

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

213413130 is a wasteful number, since it uses less digits than its factorization.

213413130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 213413130 is about 14608.6662635574. Note that the first 3 decimals coincide. The cubic root of 213413130 is about 597.5951238292.

Adding to 213413130 its reverse (31314312), we get a palindrome (244727442).

The spelling of 213413130 in words is "two hundred thirteen million, four hundred thirteen thousand, one hundred thirty".