113003012313 has 12 divisors (see below), whose sum is σ = 168855076260. Its totient is φ = 72737570976.

The previous prime is 113003012303. The next prime is 113003012341. The reversal of 113003012313 is 313210300311.

It is a happy number.

113003012313 is a `hidden beast` number, since 1 + 130 + 0 + 301 + 231 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78639863184 + 34363149129 = 280428^2 + 185373^2 .

It is not a de Polignac number, because 113003012313 - 2¹⁴ = 113002995929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113003012303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216480606 + ... + 216481127.

It is an arithmetic number, because the mean of its divisors is an integer number (14071256355).

Almost surely, 2^113003012313 is an apocalyptic number.

It is an amenable number.

113003012313 is a deficient number, since it is larger than the sum of its proper divisors (55852063947).

113003012313 is a wasteful number, since it uses less digits than its factorization.

113003012313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432961768 (or 432961765 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113003012313 its reverse (313210300311), we get a palindrome (426213312624).

The spelling of 113003012313 in words is "one hundred thirteen billion, three million, twelve thousand, three hundred thirteen".