213302800724 has 192 divisors, whose sum is σ = 454456074240. Its totient is φ = 86774188032.

The previous prime is 213302800723. The next prime is 213302800727. The reversal of 213302800724 is 427008203312.

213302800724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×213302800724³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213302800723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 770046074 + ... + 770046350.

It is an arithmetic number, because the mean of its divisors is an integer number (2366958720).

Almost surely, 2^213302800724 is an apocalyptic number.

It is an amenable number.

213302800724 is an abundant number, since it is smaller than the sum of its proper divisors (241153273516).

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

213302800724 is a wasteful number, since it uses less digits than its factorization.

213302800724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 213302800724 in words is "two hundred thirteen billion, three hundred two million, eight hundred thousand, seven hundred twenty-four".