1101101313121 has 4 divisors (see below), whose sum is σ = 1101116536000. Its totient is φ = 1101086090244.

The previous prime is 1101101313079. The next prime is 1101101313127. The reversal of 1101101313121 is 1213131011011.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1101101313121 - 2⁹ = 1101101312609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1101101313095 and 1101101313104.

It is not an unprimeable number, because it can be changed into a prime (1101101313127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7502421 + ... + 7647778.

It is an arithmetic number, because the mean of its divisors is an integer number (275279134000).

Almost surely, 2^{1101101313121} is an apocalyptic number.

It is an amenable number.

1101101313121 is a deficient number, since it is larger than the sum of its proper divisors (15222879).

1101101313121 is an equidigital number, since it uses as much as digits as its factorization.

1101101313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15222878.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 1101101313121 its reverse (1213131011011), we get a palindrome (2314232324132).

The spelling of 1101101313121 in words is "one trillion, one hundred one billion, one hundred one million, three hundred thirteen thousand, one hundred twenty-one".