212133310100431 has 16 divisors (see below), whose sum is σ = 213667733952000. Its totient is φ = 210600625356000.

The previous prime is 212133310100407. The next prime is 212133310100447. The reversal of 212133310100431 is 134001013331212.

It is a cyclic number.

It is not a de Polignac number, because 212133310100431 - 2¹¹ = 212133310098383 is a prime.

It is a super-2 number, since 2×212133310100431² (a number of 29 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 = 212133310100396 and 212133310100405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212133310101431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1994637045 + ... + 1994743393.

It is an arithmetic number, because the mean of its divisors is an integer number (13354233372000).

Almost surely, 2^{212133310100431} is an apocalyptic number.

212133310100431 is a deficient number, since it is larger than the sum of its proper divisors (1534423851569).

212133310100431 is a wasteful number, since it uses less digits than its factorization.

212133310100431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114390.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 212133310100431 its reverse (134001013331212), we get a palindrome (346134323431643).

The spelling of 212133310100431 in words is "two hundred twelve trillion, one hundred thirty-three billion, three hundred ten million, one hundred thousand, four hundred thirty-one".