110120231100113 has 32 divisors (see below), whose sum is σ = 120328422429600. Its totient is φ = 100168070086656.

The previous prime is 110120231100109. The next prime is 110120231100127. The reversal of 110120231100113 is 311001132021011.

It can be written as a sum of positive squares in 16 ways, for example, as 92609211663424 + 17511019436689 = 9623368^2 + 4184617^2 .

It is not a de Polignac number, because 110120231100113 - 2² = 110120231100109 is a prime.

It is a super-2 number, since 2×110120231100113² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110120231100091 and 110120231100100.

It is not an unprimeable number, because it can be changed into a prime (110120231100013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2255751881 + ... + 2255800697.

It is an arithmetic number, because the mean of its divisors is an integer number (3760263200925).

Almost surely, 2^{110120231100113} is an apocalyptic number.

110120231100113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110120231100113 is a deficient number, since it is larger than the sum of its proper divisors (10208191329487).

110120231100113 is a wasteful number, since it uses less digits than its factorization.

110120231100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55461.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 110120231100113 its reverse (311001132021011), we get a palindrome (421121363121124).

The spelling of 110120231100113 in words is "one hundred ten trillion, one hundred twenty billion, two hundred thirty-one million, one hundred thousand, one hundred thirteen".