31130122133133 has 12 divisors (see below), whose sum is σ = 45581700902140. Its totient is φ = 20469121402176.

The previous prime is 31130122133119. The next prime is 31130122133137. The reversal of 31130122133133 is 33133122103113.

31130122133133 is a `hidden beast` number, since 3 + 1 + 1 + 301 + 2 + 21 + 331 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27158304317769 + 3971817815364 = 5211363^2 + 1992942^2 .

It is not a de Polignac number, because 31130122133133 - 2⁸ = 31130122132877 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31130122133097 and 31130122133106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31130122133137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23691112078 + ... + 23691113391.

Almost surely, 2^{31130122133133} is an apocalyptic number.

It is an amenable number.

31130122133133 is a deficient number, since it is larger than the sum of its proper divisors (14451578769007).

31130122133133 is a wasteful number, since it uses less digits than its factorization.

31130122133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47382225548 (or 47382225545 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 31130122133133 its reverse (33133122103113), we get a palindrome (64263244236246).

The spelling of 31130122133133 in words is "thirty-one trillion, one hundred thirty billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred thirty-three".