131120122033233 has 12 divisors (see below), whose sum is σ = 191071800250500. Its totient is φ = 86639844646656.

The previous prime is 131120122033231. The next prime is 131120122033321. The reversal of 131120122033233 is 332330221021131.

131120122033233 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 201 + 220 + 3 + 3 + 233 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2469335673744 + 128650786359489 = 1571412^2 + 11342433^2 .

It is not a de Polignac number, because 131120122033233 - 2¹ = 131120122033231 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131120122033197 and 131120122033206.

It is not an unprimeable number, because it can be changed into a prime (131120122033231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64464169108 + ... + 64464171141.

It is an arithmetic number, because the mean of its divisors is an integer number (15922650020875).

Almost surely, 2^{131120122033233} is an apocalyptic number.

It is an amenable number.

131120122033233 is a deficient number, since it is larger than the sum of its proper divisors (59951678217267).

131120122033233 is a wasteful number, since it uses less digits than its factorization.

131120122033233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128928340368 (or 128928340365 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131120122033233 its reverse (332330221021131), we get a palindrome (463450343054364).

The spelling of 131120122033233 in words is "one hundred thirty-one trillion, one hundred twenty billion, one hundred twenty-two million, thirty-three thousand, two hundred thirty-three".