13101221331 has 24 divisors (see below), whose sum is σ = 21202310064. Its totient is φ = 7725533760.

The previous prime is 13101221311. The next prime is 13101221359. The reversal of 13101221331 is 13312210131.

13101221331 is a `hidden beast` number, since 1 + 310 + 1 + 2 + 21 + 331 = 666.

13101221331 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 13101221331 - 2⁹ = 13101220819 is a prime.

It is a super-2 number, since 2×13101221331² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13101221311) 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 23 ways as a sum of consecutive naturals, for example, 1784656 + ... + 1791981.

It is an arithmetic number, because the mean of its divisors is an integer number (883429586).

Almost surely, 2^13101221331 is an apocalyptic number.

13101221331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13101221331 is a deficient number, since it is larger than the sum of its proper divisors (8101088733).

13101221331 is a wasteful number, since it uses less digits than its factorization.

13101221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576691 (or 3576688 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13101221331 its reverse (13312210131), we get a palindrome (26413431462).

It can be divided in two parts, 13101 and 221331, that added together give a palindrome (234432).

The spelling of 13101221331 in words is "thirteen billion, one hundred one million, two hundred twenty-one thousand, three hundred thirty-one".