131112100313 has 8 divisors (see below), whose sum is σ = 138829865832. Its totient is φ = 123394922496.

The previous prime is 131112100309. The next prime is 131112100319. The reversal of 131112100313 is 313001211131.

It can be written as a sum of positive squares in 4 ways, for example, as 41798984704 + 89313115609 = 204448^2 + 298853^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131112100313 - 2² = 131112100309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131112100291 and 131112100300.

It is not an unprimeable number, because it can be changed into a prime (131112100319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362981 + ... + 627677.

It is an arithmetic number, because the mean of its divisors is an integer number (17353733229).

Almost surely, 2^131112100313 is an apocalyptic number.

It is an amenable number.

131112100313 is a deficient number, since it is larger than the sum of its proper divisors (7717765519).

131112100313 is a wasteful number, since it uses less digits than its factorization.

131112100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293851.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 131112100313 its reverse (313001211131), we get a palindrome (444113311444).

The spelling of 131112100313 in words is "one hundred thirty-one billion, one hundred twelve million, one hundred thousand, three hundred thirteen".