1101100113 has 6 divisors (see below), whose sum is σ = 1590477954. Its totient is φ = 734066736.

The previous prime is 1101100073. The next prime is 1101100123. The reversal of 1101100113 is 3110011011.

It can be written as a sum of positive squares in only one way, i.e., 626601024 + 474499089 = 25032^2 + 21783^2 .

It is not a de Polignac number, because 1101100113 - 2²² = 1096905809 is a prime.

It is a super-2 number, since 2×1101100113² = 2424842917697225538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 122344457 = 1101100113 / (1 + 1 + 0 + 1 + 1 + 0 + 0 + 1 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 1101100095 and 1101100104.

It is not an unprimeable number, because it can be changed into a prime (1101100123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61172220 + ... + 61172237.

It is an arithmetic number, because the mean of its divisors is an integer number (265079659).

Almost surely, 2^1101100113 is an apocalyptic number.

It is an amenable number.

1101100113 is a deficient number, since it is larger than the sum of its proper divisors (489377841).

1101100113 is a wasteful number, since it uses less digits than its factorization.

1101100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122344463 (or 122344460 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 1101100113 is about 33182.8285864843. The cubic root of 1101100113 is about 1032.6241295183.

Adding to 1101100113 its reverse (3110011011), we get a palindrome (4211111124).

The spelling of 1101100113 in words is "one billion, one hundred one million, one hundred thousand, one hundred thirteen".