1331220321301 has 16 divisors (see below), whose sum is σ = 1440133858800. Its totient is φ = 1223249499648.

The previous prime is 1331220321251. The next prime is 1331220321323. The reversal of 1331220321301 is 1031230221331.

It can be written as a sum of positive squares in 8 ways, for example, as 957964401 + 1330262356900 = 30951^2 + 1153370^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331220321301 - 2¹⁵ = 1331220288533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331220321001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2315425 + ... + 2832601.

It is an arithmetic number, because the mean of its divisors is an integer number (90008366175).

Almost surely, 2^{1331220321301} is an apocalyptic number.

It is an amenable number.

1331220321301 is a deficient number, since it is larger than the sum of its proper divisors (108913537499).

1331220321301 is a wasteful number, since it uses less digits than its factorization.

1331220321301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518088.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1331220321301 its reverse (1031230221331), we get a palindrome (2362450542632).

The spelling of 1331220321301 in words is "one trillion, three hundred thirty-one billion, two hundred twenty million, three hundred twenty-one thousand, three hundred one".