212133313113 has 16 divisors (see below), whose sum is σ = 283930920000. Its totient is φ = 140879088320.

The previous prime is 212133313103. The next prime is 212133313177. The reversal of 212133313113 is 311313331212.

It is a cyclic number.

It is not a de Polignac number, because 212133313113 - 2¹⁴ = 212133296729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212133313103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12701098 + ... + 12717788.

It is an arithmetic number, because the mean of its divisors is an integer number (17745682500).

Almost surely, 2^212133313113 is an apocalyptic number.

It is an amenable number.

212133313113 is a deficient number, since it is larger than the sum of its proper divisors (71797606887).

212133313113 is a wasteful number, since it uses less digits than its factorization.

212133313113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32712.

The product of its digits is 972, while the sum is 24.

Adding to 212133313113 its reverse (311313331212), we get a palindrome (523446644325).

The spelling of 212133313113 in words is "two hundred twelve billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred thirteen".