20131231004433 has 24 divisors (see below), whose sum is σ = 29157788650536. Its totient is φ = 13384247904000.

The previous prime is 20131231004429. The next prime is 20131231004447. The reversal of 20131231004433 is 33440013213102.

It is a happy number.

20131231004433 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 123 + 100 + 4 + 433 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8563015145169 + 11568215859264 = 2926263^2 + 3401208^2 .

It is not a de Polignac number, because 20131231004433 - 2² = 20131231004429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20131231004397 and 20131231004406.

It is not an unprimeable number, because it can be changed into a prime (20131231004033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3112291 + ... + 7067447.

It is an arithmetic number, because the mean of its divisors is an integer number (1214907860439).

Almost surely, 2^{20131231004433} is an apocalyptic number.

It is an amenable number.

20131231004433 is a deficient number, since it is larger than the sum of its proper divisors (9026557646103).

20131231004433 is a wasteful number, since it uses less digits than its factorization.

20131231004433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956705 (or 3956702 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 20131231004433 its reverse (33440013213102), we get a palindrome (53571244217535).

The spelling of 20131231004433 in words is "twenty trillion, one hundred thirty-one billion, two hundred thirty-one million, four thousand, four hundred thirty-three".