1301022321001 has 24 divisors (see below), whose sum is σ = 1417752950040. Its totient is φ = 1193319069696.

The previous prime is 1301022320993. The next prime is 1301022321029. The reversal of 1301022321001 is 1001232201031.

It can be written as a sum of positive squares in 12 ways, for example, as 826142837776 + 474879483225 = 908924^2 + 689115^2 .

It is not a de Polignac number, because 1301022321001 - 2³ = 1301022320993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1301022321061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55216915 + ... + 55240471.

It is an arithmetic number, because the mean of its divisors is an integer number (59073039585).

Almost surely, 2^{1301022321001} is an apocalyptic number.

It is an amenable number.

1301022321001 is a deficient number, since it is larger than the sum of its proper divisors (116730629039).

1301022321001 is a wasteful number, since it uses less digits than its factorization.

1301022321001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25645 (or 25632 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1301022321001 its reverse (1001232201031), we get a palindrome (2302254522032).

The spelling of 1301022321001 in words is "one trillion, three hundred one billion, twenty-two million, three hundred twenty-one thousand, one".