212133031131 has 16 divisors (see below), whose sum is σ = 323266409984. Its totient is φ = 121212846144.

The previous prime is 212133031051. The next prime is 212133031133. The reversal of 212133031131 is 131130331212.

It is a happy number.

212133031131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212133031131 - 2³⁰ = 211059289307 is a prime.

It is a super-3 number, since 3×212133031131³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 212133031098 and 212133031107.

It is not an unprimeable number, because it can be changed into a prime (212133031133) 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 15 ways as a sum of consecutive naturals, for example, 199935 + ... + 681351.

It is an arithmetic number, because the mean of its divisors is an integer number (20204150624).

Almost surely, 2^212133031131 is an apocalyptic number.

212133031131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212133031131 is a deficient number, since it is larger than the sum of its proper divisors (111133378853).

212133031131 is a wasteful number, since it uses less digits than its factorization.

212133031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502410.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 212133031131 its reverse (131130331212), we get a palindrome (343263362343).

The spelling of 212133031131 in words is "two hundred twelve billion, one hundred thirty-three million, thirty-one thousand, one hundred thirty-one".