1121101313311 has 18 divisors (see below), whose sum is σ = 1336722421920. Its totient is φ = 937506255840.

The previous prime is 1121101313291. The next prime is 1121101313603. The reversal of 1121101313311 is 1133131011211.

It is not a de Polignac number, because 1121101313311 - 2³¹ = 1118953829663 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121101310311) 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 17 ways as a sum of consecutive naturals, for example, 6722991 + ... + 6887728.

Almost surely, 2^{1121101313311} is an apocalyptic number.

1121101313311 is a deficient number, since it is larger than the sum of its proper divisors (215621108609).

1121101313311 is an equidigital number, since it uses as much as digits as its factorization.

1121101313311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13610815 (or 13610767 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 1121101313311 its reverse (1133131011211), we get a palindrome (2254232324522).

The spelling of 1121101313311 in words is "one trillion, one hundred twenty-one billion, one hundred one million, three hundred thirteen thousand, three hundred eleven".