213202311232032 has 72 divisors (see below), whose sum is σ = 606360175585164. Its totient is φ = 71059688738304.

The previous prime is 213202311232003. The next prime is 213202311232037. The reversal of 213202311232032 is 230232113202312.

213202311232032 is a `hidden beast` number, since 2 + 1 + 3 + 20 + 2 + 311 + 2 + 320 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 145934034659856 + 67268276572176 = 12080316^2 + 8201724^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 213202311231987 and 213202311232005.

It is not an unprimeable number, because it can be changed into a prime (213202311232037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37709523 + ... + 42993170.

Almost surely, 2^{213202311232032} is an apocalyptic number.

It is an amenable number.

213202311232032 is an abundant number, since it is smaller than the sum of its proper divisors (393157864353132).

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

213202311232032 is a wasteful number, since it uses less digits than its factorization.

213202311232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80711882 (or 80711871 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213202311232032 its reverse (230232113202312), we get a palindrome (443434424434344).

The spelling of 213202311232032 in words is "two hundred thirteen trillion, two hundred two billion, three hundred eleven million, two hundred thirty-two thousand, thirty-two".