13311131311332 has 72 divisors (see below), whose sum is σ = 35636037621912. Its totient is φ = 4174964428800.

The previous prime is 13311131311319. The next prime is 13311131311337. The reversal of 13311131311332 is 23311313111331.

13311131311332 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 1 + 313 + 11 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1706848183296 + 11604283128036 = 1306464^2 + 3406506^2 .

It is a super-2 number, since 2×13311131311332² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13311131311296 and 13311131311305.

It is not an unprimeable number, because it can be changed into a prime (13311131311337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426969 + ... + 5177312.

It is an arithmetic number, because the mean of its divisors is an integer number (494944966971).

Almost surely, 2^{13311131311332} is an apocalyptic number.

13311131311332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13311131311332 is an abundant number, since it is smaller than the sum of its proper divisors (22324906310580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13311131311332 is a wasteful number, since it uses less digits than its factorization.

13311131311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5608189 (or 5608184 counting only the distinct ones).

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

Adding to 13311131311332 its reverse (23311313111331), we get a palindrome (36622444422663).

The spelling of 13311131311332 in words is "thirteen trillion, three hundred eleven billion, one hundred thirty-one million, three hundred eleven thousand, three hundred thirty-two".