13133101331 has 16 divisors (see below), whose sum is σ = 15300003840. Its totient is φ = 11040775200.

The previous prime is 13133101291. The next prime is 13133101337. The reversal of 13133101331 is 13310133131.

13133101331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13133101331 - 2²² = 13128907027 is a prime.

It is a super-2 number, since 2×13133101331² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13133101337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4865 + ... + 162141.

It is an arithmetic number, because the mean of its divisors is an integer number (956250240).

Almost surely, 2^13133101331 is an apocalyptic number.

13133101331 is a deficient number, since it is larger than the sum of its proper divisors (2166902509).

13133101331 is a wasteful number, since it uses less digits than its factorization.

13133101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157514.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 13133101331 its reverse (13310133131), we get a palindrome (26443234462).

The spelling of 13133101331 in words is "thirteen billion, one hundred thirty-three million, one hundred one thousand, three hundred thirty-one".