213132210311133 has 48 divisors (see below), whose sum is σ = 327893676621056. Its totient is φ = 138245701458240.

The previous prime is 213132210311107. The next prime is 213132210311147. The reversal of 213132210311133 is 331113012231312.

213132210311133 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 2 + 210 + 311 + 133 = 666.

It is not a de Polignac number, because 213132210311133 - 2¹³ = 213132210302941 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213132210311097 and 213132210311106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213132210311533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705741435 + ... + 706043367.

Almost surely, 2^{213132210311133} is an apocalyptic number.

It is an amenable number.

213132210311133 is a deficient number, since it is larger than the sum of its proper divisors (114761466309923).

213132210311133 is an equidigital number, since it uses as much as digits as its factorization.

213132210311133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380496 (or 380484 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 213132210311133 its reverse (331113012231312), we get a palindrome (544245222542445).

The spelling of 213132210311133 in words is "two hundred thirteen trillion, one hundred thirty-two billion, two hundred ten million, three hundred eleven thousand, one hundred thirty-three".