31132132320033 has 20 divisors (see below), whose sum is σ = 46506198099988. Its totient is φ = 20754677550240.

The previous prime is 31132132320017. The next prime is 31132132320083. The reversal of 31132132320033 is 33002323123113.

31132132320033 is a `hidden beast` number, since 3 + 1 + 132 + 1 + 323 + 200 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7131078886464 + 24001053433569 = 2670408^2 + 4899087^2 .

It is not a de Polignac number, because 31132132320033 - 2⁴ = 31132132320017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31132132319979 and 31132132320006.

It is not an unprimeable number, because it can be changed into a prime (31132132320083) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28443135 + ... + 29517387.

Almost surely, 2^{31132132320033} is an apocalyptic number.

It is an amenable number.

31132132320033 is a deficient number, since it is larger than the sum of its proper divisors (15374065779955).

31132132320033 is a wasteful number, since it uses less digits than its factorization.

31132132320033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432046 (or 1432037 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 31132132320033 its reverse (33002323123113), we get a palindrome (64134455443146).

The spelling of 31132132320033 in words is "thirty-one trillion, one hundred thirty-two billion, one hundred thirty-two million, three hundred twenty thousand, thirty-three".