1101323221313 has 32 divisors (see below), whose sum is σ = 1304315136000. Its totient is φ = 910475444736.

The previous prime is 1101323221309. The next prime is 1101323221331. The reversal of 1101323221313 is 3131223231011.

It is a cyclic number.

It is not a de Polignac number, because 1101323221313 - 2² = 1101323221309 is a prime.

It is a super-3 number, since 3×1101323221313³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101323221373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5615888 + ... + 5808686.

It is an arithmetic number, because the mean of its divisors is an integer number (40759848000).

Almost surely, 2^{1101323221313} is an apocalyptic number.

It is an amenable number.

1101323221313 is a deficient number, since it is larger than the sum of its proper divisors (202991914687).

1101323221313 is a wasteful number, since it uses less digits than its factorization.

1101323221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193121.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1101323221313 its reverse (3131223231011), we get a palindrome (4232546452324).

The spelling of 1101323221313 in words is "one trillion, one hundred one billion, three hundred twenty-three million, two hundred twenty-one thousand, three hundred thirteen".