13121331093 has 24 divisors (see below), whose sum is σ = 20434392888. Its totient is φ = 8065395072.

The previous prime is 13121331077. The next prime is 13121331101. The reversal of 13121331093 is 39013312131.

13121331093 is a `hidden beast` number, since 131 + 213 + 310 + 9 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28708164 + 13092622929 = 5358^2 + 114423^2 .

It is not a de Polignac number, because 13121331093 - 2⁴ = 13121331077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121331073) 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 23 ways as a sum of consecutive naturals, for example, 38671 + ... + 166547.

It is an arithmetic number, because the mean of its divisors is an integer number (851433037).

Almost surely, 2^13121331093 is an apocalyptic number.

13121331093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13121331093 is a deficient number, since it is larger than the sum of its proper divisors (7313061795).

13121331093 is a wasteful number, since it uses less digits than its factorization.

13121331093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128773 (or 128770 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 13121331093 in words is "thirteen billion, one hundred twenty-one million, three hundred thirty-one thousand, ninety-three".