213301264 has 120 divisors (see below), whose sum is σ = 493718400. Its totient is φ = 88408320.

The previous prime is 213301237. The next prime is 213301279. The reversal of 213301264 is 462103312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2699977 + ... + 2700055.

It is an arithmetic number, because the mean of its divisors is an integer number (4114320).

Almost surely, 2^213301264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213301264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246859200).

213301264 is an abundant number, since it is smaller than the sum of its proper divisors (280417136).

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

213301264 is a wasteful number, since it uses less digits than its factorization.

213301264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 213301264 is about 14604.8370069645. The cubic root of 213301264 is about 597.4906906108.

Adding to 213301264 its reverse (462103312), we get a palindrome (675404576).

The spelling of 213301264 in words is "two hundred thirteen million, three hundred one thousand, two hundred sixty-four".