13101241331113 has 24 divisors (see below), whose sum is σ = 14909103405000. Its totient is φ = 11442790791936.

The previous prime is 13101241331089. The next prime is 13101241331147. The reversal of 13101241331113 is 31113314210131.

It can be written as a sum of positive squares in 4 ways, for example, as 1727100612864 + 11374140718249 = 1314192^2 + 3372557^2 .

It is not a de Polignac number, because 13101241331113 - 2¹³ = 13101241322921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13101241331183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2071263 + ... + 5522011.

It is an arithmetic number, because the mean of its divisors is an integer number (621212641875).

Almost surely, 2^{13101241331113} is an apocalyptic number.

13101241331113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13101241331113 is a deficient number, since it is larger than the sum of its proper divisors (1807862073887).

13101241331113 is a wasteful number, since it uses less digits than its factorization.

13101241331113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451609 (or 3451590 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 13101241331113 its reverse (31113314210131), we get a palindrome (44214555541244).

The spelling of 13101241331113 in words is "thirteen trillion, one hundred one billion, two hundred forty-one million, three hundred thirty-one thousand, one hundred thirteen".