213431302044 has 144 divisors (see below), whose sum is σ = 572751466560. Its totient is φ = 66869637120.

The previous prime is 213431301971. The next prime is 213431302061. The reversal of 213431302044 is 440203134312.

213431302044 is a `hidden beast` number, since 21 + 3 + 431 + 3 + 0 + 204 + 4 = 666.

213431302044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213431301999 and 213431302017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95408494 + ... + 95410730.

It is an arithmetic number, because the mean of its divisors is an integer number (3977440740).

Almost surely, 2^213431302044 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 213431302044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286375733280).

213431302044 is an abundant number, since it is smaller than the sum of its proper divisors (359320164516).

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

213431302044 is a wasteful number, since it uses less digits than its factorization.

213431302044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 213431302044 its reverse (440203134312), we get a palindrome (653634436356).

The spelling of 213431302044 in words is "two hundred thirteen billion, four hundred thirty-one million, three hundred two thousand, forty-four".