1101122113 has 32 divisors (see below), whose sum is σ = 1468406016. Its totient is φ = 800851968.

The previous prime is 1101122107. The next prime is 1101122137. The reversal of 1101122113 is 3112211011.

It is a happy number.

It is not a de Polignac number, because 1101122113 - 2⁵ = 1101122081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1101122093 and 1101122102.

It is not an unprimeable number, because it can be changed into a prime (1101122413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58245 + ... + 74797.

It is an arithmetic number, because the mean of its divisors is an integer number (45887688).

Almost surely, 2^1101122113 is an apocalyptic number.

1101122113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1101122113 is a deficient number, since it is larger than the sum of its proper divisors (367283903).

1101122113 is a wasteful number, since it uses less digits than its factorization.

1101122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16633.

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 1101122113 is about 33183.1600815836. The cubic root of 1101122113 is about 1032.6310067554.

Adding to 1101122113 its reverse (3112211011), we get a palindrome (4213333124).

It can be divided in two parts, 110112 and 2113, that added together give a square (112225 = 335²).

The spelling of 1101122113 in words is "one billion, one hundred one million, one hundred twenty-two thousand, one hundred thirteen".