120133321103305 has 8 divisors (see below), whose sum is σ = 145587311911944. Its totient is φ = 95155105824000.

The previous prime is 120133321103293. The next prime is 120133321103309. The reversal of 120133321103305 is 503301123331021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 84957734431504 + 35175586671801 = 9217252^2 + 5930901^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 120133321103305 - 2⁹ = 120133321102793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120133321103309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118943881776 + ... + 118943882785.

It is an arithmetic number, because the mean of its divisors is an integer number (18198413988993).

Almost surely, 2^{120133321103305} is an apocalyptic number.

It is an amenable number.

120133321103305 is a deficient number, since it is larger than the sum of its proper divisors (25453990808639).

120133321103305 is a wasteful number, since it uses less digits than its factorization.

120133321103305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237887764667.

The product of its (nonzero) digits is 4860, while the sum is 28.

Adding to 120133321103305 its reverse (503301123331021), we get a palindrome (623434444434326).

The spelling of 120133321103305 in words is "one hundred twenty trillion, one hundred thirty-three billion, three hundred twenty-one million, one hundred three thousand, three hundred five".