120311131100321 has 12 divisors (see below), whose sum is σ = 139953947134932. Its totient is φ = 103123692268128.

The previous prime is 120311131100317. The next prime is 120311131100323. The reversal of 120311131100321 is 123001131113021.

It can be written as a sum of positive squares in 2 ways, for example, as 20813997319696 + 99497133780625 = 4562236^2 + 9974825^2 .

It is not a de Polignac number, because 120311131100321 - 2² = 120311131100317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120311131100293 and 120311131100302.

It is not an unprimeable number, because it can be changed into a prime (120311131100323) 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, 61610291 + ... + 63533063.

It is an arithmetic number, because the mean of its divisors is an integer number (11662828927911).

Almost surely, 2^{120311131100321} is an apocalyptic number.

It is an amenable number.

120311131100321 is a deficient number, since it is larger than the sum of its proper divisors (19642816034611).

120311131100321 is a wasteful number, since it uses less digits than its factorization.

120311131100321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199760 (or 3199753 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 120311131100321 its reverse (123001131113021), we get a palindrome (243312262213342).

The spelling of 120311131100321 in words is "one hundred twenty trillion, three hundred eleven billion, one hundred thirty-one million, one hundred thousand, three hundred twenty-one".