110001131313 has 16 divisors (see below), whose sum is σ = 158560192320. Its totient is φ = 67596710976.

The previous prime is 110001131299. The next prime is 110001131363. The reversal of 110001131313 is 313131100011.

It is not a de Polignac number, because 110001131313 - 2¹⁸ = 110000869169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110001131292 and 110001131301.

It is not an unprimeable number, because it can be changed into a prime (110001131363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26076870 + ... + 26081087.

It is an arithmetic number, because the mean of its divisors is an integer number (9910012020).

Almost surely, 2^110001131313 is an apocalyptic number.

It is an amenable number.

110001131313 is a deficient number, since it is larger than the sum of its proper divisors (48559061007).

110001131313 is a wasteful number, since it uses less digits than its factorization.

110001131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52158016.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 110001131313 its reverse (313131100011), we get a palindrome (423132231324).

It can be divided in two parts, 1100011 and 31313, that multiplied together give a palindrome (34444644443).

The spelling of 110001131313 in words is "one hundred ten billion, one million, one hundred thirty-one thousand, three hundred thirteen".