212122133013 has 8 divisors (see below), whose sum is σ = 323233726528. Its totient is φ = 121212647424.

The previous prime is 212122133009. The next prime is 212122133021. The reversal of 212122133013 is 310331221212.

212122133013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 212122133013 - 2² = 212122133009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 10101053953 = 212122133013 / (2 + 1 + 2 + 1 + 2 + 2 + 1 + 3 + 3 + 0 + 1 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122133063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5050526956 + ... + 5050526997.

It is an arithmetic number, because the mean of its divisors is an integer number (40404215816).

Almost surely, 2^212122133013 is an apocalyptic number.

It is an amenable number.

212122133013 is a deficient number, since it is larger than the sum of its proper divisors (111111593515).

212122133013 is a wasteful number, since it uses less digits than its factorization.

212122133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101053963.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212122133013 its reverse (310331221212), we get a palindrome (522453354225).

The spelling of 212122133013 in words is "two hundred twelve billion, one hundred twenty-two million, one hundred thirty-three thousand, thirteen".