120223134344133 has 48 divisors (see below), whose sum is σ = 184798890716544. Its totient is φ = 75146636273280.

The previous prime is 120223134344107. The next prime is 120223134344149. The reversal of 120223134344133 is 331443431322021.

120223134344133 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 231 + 3 + 4 + 3 + 4 + 413 + 3 = 666.

It is not a de Polignac number, because 120223134344133 - 2¹² = 120223134340037 is a prime.

It is a super-3 number, since 3×120223134344133³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120223134344633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6476110 + ... + 16804352.

It is an arithmetic number, because the mean of its divisors is an integer number (3849976889928).

Almost surely, 2^{120223134344133} is an apocalyptic number.

It is an amenable number.

120223134344133 is a deficient number, since it is larger than the sum of its proper divisors (64575756372411).

120223134344133 is a wasteful number, since it uses less digits than its factorization.

120223134344133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10329386 (or 10329383 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 120223134344133 its reverse (331443431322021), we get a palindrome (451666565666154).

The spelling of 120223134344133 in words is "one hundred twenty trillion, two hundred twenty-three billion, one hundred thirty-four million, three hundred forty-four thousand, one hundred thirty-three".