113131113001 has 8 divisors (see below), whose sum is σ = 119814802344. Its totient is φ = 106450636800.

The previous prime is 113131112993. The next prime is 113131113047. The reversal of 113131113001 is 100311131311.

It can be written as a sum of positive squares in 4 ways, for example, as 8271720601 + 104859392400 = 90949^2 + 323820^2 .

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 113131113001 - 2³ = 113131112993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113131113101) 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, 730600 + ... + 871801.

It is an arithmetic number, because the mean of its divisors is an integer number (14976850293).

Almost surely, 2^113131113001 is an apocalyptic number.

It is an amenable number.

113131113001 is a deficient number, since it is larger than the sum of its proper divisors (6683689343).

113131113001 is a wasteful number, since it uses less digits than its factorization.

113131113001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606571.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 113131113001 its reverse (100311131311), we get a palindrome (213442244312).

The spelling of 113131113001 in words is "one hundred thirteen billion, one hundred thirty-one million, one hundred thirteen thousand, one".