1303211222001 has 48 divisors (see below), whose sum is σ = 2080745568720. Its totient is φ = 780877117440.

The previous prime is 1303211221997. The next prime is 1303211222009. The reversal of 1303211222001 is 1002221123031.

1303211222001 is a `hidden beast` number, since 130 + 321 + 12 + 2 + 200 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 313822919601 + 989388302400 = 560199^2 + 994680^2 .

It is not a de Polignac number, because 1303211222001 - 2² = 1303211221997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1303211222009) 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 47 ways as a sum of consecutive naturals, for example, 2174805 + ... + 2708541.

It is an arithmetic number, because the mean of its divisors is an integer number (43348866015).

Almost surely, 2^{1303211222001} is an apocalyptic number.

It is an amenable number.

1303211222001 is a deficient number, since it is larger than the sum of its proper divisors (777534346719).

1303211222001 is a wasteful number, since it uses less digits than its factorization.

1303211222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534306 (or 534303 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1303211222001 its reverse (1002221123031), we get a palindrome (2305432345032).

The spelling of 1303211222001 in words is "one trillion, three hundred three billion, two hundred eleven million, two hundred twenty-two thousand, one".