213003142102304 has 96 divisors (see below), whose sum is σ = 423170775846000. Its totient is φ = 105535666520064.

The previous prime is 213003142102187. The next prime is 213003142102379. The reversal of 213003142102304 is 403201241300312.

213003142102304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 42209085909904 + 170794056192400 = 6496852^2 + 13068820^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12508250462 + ... + 12508267490.

Almost surely, 2^{213003142102304} is an apocalyptic number.

It is an amenable number.

213003142102304 is a deficient number, since it is larger than the sum of its proper divisors (210167633743696).

213003142102304 is a wasteful number, since it uses less digits than its factorization.

213003142102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25030 (or 25022 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 213003142102304 its reverse (403201241300312), we get a palindrome (616204383402616).

The spelling of 213003142102304 in words is "two hundred thirteen trillion, three billion, one hundred forty-two million, one hundred two thousand, three hundred four".