131120122033033 has 24 divisors (see below), whose sum is σ = 155409117101568. Its totient is φ = 110265473406816.

The previous prime is 131120122032989. The next prime is 131120122033057. The reversal of 131120122033033 is 330330221021131.

It is not a de Polignac number, because 131120122033033 - 2¹⁷ = 131120121901961 is a prime.

It is a super-2 number, since 2×131120122033033² (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 = 131120122032989 and 131120122033007.

It is not an unprimeable number, because it can be changed into a prime (131120122033073) 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 23 ways as a sum of consecutive naturals, for example, 110935110 + ... + 112110832.

It is an arithmetic number, because the mean of its divisors is an integer number (6475379879232).

Almost surely, 2^{131120122033033} is an apocalyptic number.

It is an amenable number.

131120122033033 is a deficient number, since it is larger than the sum of its proper divisors (24288995068535).

131120122033033 is a wasteful number, since it uses less digits than its factorization.

131120122033033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218733 (or 1218726 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 131120122033033 its reverse (330330221021131), we get a palindrome (461450343054164).

The spelling of 131120122033033 in words is "one hundred thirty-one trillion, one hundred twenty billion, one hundred twenty-two million, thirty-three thousand, thirty-three".