213303003212133 has 16 divisors (see below), whose sum is σ = 319811731727040. Its totient is φ = 140488725005712.

The previous prime is 213303003212081. The next prime is 213303003212171. The reversal of 213303003212133 is 331212300303312.

213303003212133 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 0 + 300 + 321 + 2 + 1 + 33 = 666.

It is not a de Polignac number, because 213303003212133 - 2¹² = 213303003208037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213303003212097 and 213303003212106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213303003212933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47591029266 + ... + 47591033747.

It is an arithmetic number, because the mean of its divisors is an integer number (19988233232940).

Almost surely, 2^{213303003212133} is an apocalyptic number.

It is an amenable number.

213303003212133 is a deficient number, since it is larger than the sum of its proper divisors (106508728514907).

213303003212133 is an equidigital number, since it uses as much as digits as its factorization.

213303003212133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95182063105 (or 95182063099 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 213303003212133 its reverse (331212300303312), we get a palindrome (544515303515445).

The spelling of 213303003212133 in words is "two hundred thirteen trillion, three hundred three billion, three million, two hundred twelve thousand, one hundred thirty-three".