212133102322113 has 48 divisors (see below), whose sum is σ = 365767971618816. Its totient is φ = 115836064961760.

The previous prime is 212133102322093. The next prime is 212133102322129. The reversal of 212133102322113 is 311223201331212.

212133102322113 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 310 + 232 + 2 + 113 = 666.

It is not a de Polignac number, because 212133102322113 - 2¹⁶ = 212133102256577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212133102322133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69504945 + ... + 72492782.

It is an arithmetic number, because the mean of its divisors is an integer number (7620166075392).

Almost surely, 2^{212133102322113} is an apocalyptic number.

212133102322113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212133102322113 is a deficient number, since it is larger than the sum of its proper divisors (153634869296703).

212133102322113 is a wasteful number, since it uses less digits than its factorization.

212133102322113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141998794 (or 141998791 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 212133102322113 its reverse (311223201331212), we get a palindrome (523356303653325).

Subtracting 212133102322113 from its reverse (311223201331212), we obtain a palindrome (99090099009099).

The spelling of 212133102322113 in words is "two hundred twelve trillion, one hundred thirty-three billion, one hundred two million, three hundred twenty-two thousand, one hundred thirteen".