213212312003133 has 12 divisors (see below), whose sum is σ = 307973577431260. Its totient is φ = 142141431548736.

The previous prime is 213212312003107. The next prime is 213212312003137. The reversal of 213212312003133 is 331300213212312.

213212312003133 is a `hidden beast` number, since 2 + 1 + 3 + 212 + 312 + 0 + 0 + 3 + 133 = 666.

213212312003133 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 62838549763929 + 150373762239204 = 7927077^2 + 12262698^2 .

It is not a de Polignac number, because 213212312003133 - 2⁵ = 213212312003101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213212312003097 and 213212312003106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213212312003137) 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, 4171563 + ... + 21067191.

Almost surely, 2^{213212312003133} is an apocalyptic number.

It is an amenable number.

213212312003133 is a deficient number, since it is larger than the sum of its proper divisors (94761265428127).

213212312003133 is a wasteful number, since it uses less digits than its factorization.

213212312003133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18297788 (or 18297785 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 213212312003133 its reverse (331300213212312), we get a palindrome (544512525215445).

The spelling of 213212312003133 in words is "two hundred thirteen trillion, two hundred twelve billion, three hundred twelve million, three thousand, one hundred thirty-three".