120133312313301 has 24 divisors (see below), whose sum is σ = 199311868579200. Its totient is φ = 68302644179616.

The previous prime is 120133312313251. The next prime is 120133312313363. The reversal of 120133312313301 is 103313213331021.

120133312313301 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 3 + 3 + 312 + 313 + 30 + 1 = 666.

It is not a de Polignac number, because 120133312313301 - 2¹⁷ = 120133312182229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120133312313701) 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, 4791138150 + ... + 4791163223.

It is an arithmetic number, because the mean of its divisors is an integer number (8304661190800).

Almost surely, 2^{120133312313301} is an apocalyptic number.

It is an amenable number.

120133312313301 is a deficient number, since it is larger than the sum of its proper divisors (79178556265899).

120133312313301 is a wasteful number, since it uses less digits than its factorization.

120133312313301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9582301585 (or 9582301582 counting only the distinct ones).

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

Adding to 120133312313301 its reverse (103313213331021), we get a palindrome (223446525644322).

The spelling of 120133312313301 in words is "one hundred twenty trillion, one hundred thirty-three billion, three hundred twelve million, three hundred thirteen thousand, three hundred one".