1331320221101 has 16 divisors (see below), whose sum is σ = 1461329015664. Its totient is φ = 1205478457344.

The previous prime is 1331320221071. The next prime is 1331320221139. The reversal of 1331320221101 is 1011220231331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 66259908100 + 1265060313001 = 257410^2 + 1124749^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331320221101 - 2⁶ = 1331320221037 is a prime.

It is a super-2 number, since 2×1331320221101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331320221151) 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, 4529036 + ... + 4814021.

It is an arithmetic number, because the mean of its divisors is an integer number (91333063479).

Almost surely, 2^{1331320221101} is an apocalyptic number.

It is an amenable number.

1331320221101 is a deficient number, since it is larger than the sum of its proper divisors (130008794563).

1331320221101 is a wasteful number, since it uses less digits than its factorization.

1331320221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9343280.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1331320221101 its reverse (1011220231331), we get a palindrome (2342540452432).

The spelling of 1331320221101 in words is "one trillion, three hundred thirty-one billion, three hundred twenty million, two hundred twenty-one thousand, one hundred one".