120113133213321 has 24 divisors (see below), whose sum is σ = 183703693314024. Its totient is φ = 75364588615680.

The previous prime is 120113133213313. The next prime is 120113133213343. The reversal of 120113133213321 is 123312331311021.

120113133213321 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 3 + 1 + 3 + 321 + 332 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87960388838400 + 32152744374921 = 9378720^2 + 5670339^2 .

It is not a de Polignac number, because 120113133213321 - 2³ = 120113133213313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120113133233321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20451901 + ... + 25661381.

It is an arithmetic number, because the mean of its divisors is an integer number (7654320554751).

Almost surely, 2^{120113133213321} is an apocalyptic number.

It is an amenable number.

120113133213321 is a deficient number, since it is larger than the sum of its proper divisors (63590560100703).

120113133213321 is a wasteful number, since it uses less digits than its factorization.

120113133213321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5360201 (or 5360198 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 120113133213321 its reverse (123312331311021), we get a palindrome (243425464524342).

The spelling of 120113133213321 in words is "one hundred twenty trillion, one hundred thirteen billion, one hundred thirty-three million, two hundred thirteen thousand, three hundred twenty-one".