212133100013 has 4 divisors (see below), whose sum is σ = 216135611388. Its totient is φ = 208130588640.

The previous prime is 212133099889. The next prime is 212133100051. The reversal of 212133100013 is 310001331212.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 65729678884 + 146403421129 = 256378^2 + 382627^2 .

It is a cyclic number.

It is not a de Polignac number, because 212133100013 - 2¹⁴ = 212133083629 is a prime.

It is a super-2 number, since 2×212133100013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212133099964 and 212133100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212133100063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2001255608 + ... + 2001255713.

It is an arithmetic number, because the mean of its divisors is an integer number (54033902847).

Almost surely, 2^212133100013 is an apocalyptic number.

It is an amenable number.

212133100013 is a deficient number, since it is larger than the sum of its proper divisors (4002511375).

212133100013 is an equidigital number, since it uses as much as digits as its factorization.

212133100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002511374.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 212133100013 its reverse (310001331212), we get a palindrome (522134431225).

The spelling of 212133100013 in words is "two hundred twelve billion, one hundred thirty-three million, one hundred thousand, thirteen".