13113031331101 has 8 divisors (see below), whose sum is σ = 14123020703960. Its totient is φ = 12103226908992.

The previous prime is 13113031331083. The next prime is 13113031331119. The reversal of 13113031331101 is 10113313031131.

It is an interprime number because it is at equal distance from previous prime (13113031331083) and next prime (13113031331119).

It can be written as a sum of positive squares in 4 ways, for example, as 894441171001 + 12218590160100 = 945749^2 + 3495510^2 .

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 13113031331101 - 2¹¹ = 13113031329053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113031331501) 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, 46090410 + ... + 46374043.

It is an arithmetic number, because the mean of its divisors is an integer number (1765377587995).

Almost surely, 2^{13113031331101} is an apocalyptic number.

It is an amenable number.

13113031331101 is a deficient number, since it is larger than the sum of its proper divisors (1009989372859).

13113031331101 is a wasteful number, since it uses less digits than its factorization.

13113031331101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92475375.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 13113031331101 its reverse (10113313031131), we get a palindrome (23226344362232).

The spelling of 13113031331101 in words is "thirteen trillion, one hundred thirteen billion, thirty-one million, three hundred thirty-one thousand, one hundred one".