13131020113 has 4 divisors (see below), whose sum is σ = 13583813940. Its totient is φ = 12678226288.

The previous prime is 13131020107. The next prime is 13131020131. The reversal of 13131020113 is 31102013131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31102013131 = 7 ⋅4443144733.

It can be written as a sum of positive squares in 2 ways, for example, as 5759595664 + 7371424449 = 75892^2 + 85857^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131020113 - 2¹³ = 13131011921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13131020143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 226396870 + ... + 226396927.

It is an arithmetic number, because the mean of its divisors is an integer number (3395953485).

Almost surely, 2^13131020113 is an apocalyptic number.

It is an amenable number.

13131020113 is a deficient number, since it is larger than the sum of its proper divisors (452793827).

13131020113 is an equidigital number, since it uses as much as digits as its factorization.

13131020113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452793826.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13131020113 its reverse (31102013131), we get a palindrome (44233033244).

The spelling of 13131020113 in words is "thirteen billion, one hundred thirty-one million, twenty thousand, one hundred thirteen".