13312131310 has 48 divisors (see below), whose sum is σ = 25457883552. Its totient is φ = 5010984000.

The previous prime is 13312131293. The next prime is 13312131311. The reversal of 13312131310 is 1313121331.

13312131310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13312131310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312131311) 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, 532900 + ... + 557320.

It is an arithmetic number, because the mean of its divisors is an integer number (530372574).

Almost surely, 2^13312131310 is an apocalyptic number.

13312131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13312131310 is a deficient number, since it is larger than the sum of its proper divisors (12145752242).

13312131310 is a wasteful number, since it uses less digits than its factorization.

13312131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24617 (or 24598 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13312131310 its reverse (1313121331), we get a palindrome (14625252641).

The spelling of 13312131310 in words is "thirteen billion, three hundred twelve million, one hundred thirty-one thousand, three hundred ten".