13211100331 has 32 divisors (see below), whose sum is σ = 15665082048. Its totient is φ = 10983651840.

The previous prime is 13211100323. The next prime is 13211100373. The reversal of 13211100331 is 13300111231.

13211100331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13211100331 - 2³ = 13211100323 is a prime.

It is a super-2 number, since 2×13211100331² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13211100391) 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 31 ways as a sum of consecutive naturals, for example, 7802521 + ... + 7804213.

It is an arithmetic number, because the mean of its divisors is an integer number (489533814).

Almost surely, 2^13211100331 is an apocalyptic number.

13211100331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13211100331 is a deficient number, since it is larger than the sum of its proper divisors (2453981717).

13211100331 is a wasteful number, since it uses less digits than its factorization.

13211100331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191.

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

Adding to 13211100331 its reverse (13300111231), we get a palindrome (26511211562).

The spelling of 13211100331 in words is "thirteen billion, two hundred eleven million, one hundred thousand, three hundred thirty-one".