13131310000000 has 256 divisors, whose sum is σ = 34623930893760. Its totient is φ = 4943488000000.

The previous prime is 13131309999931. The next prime is 13131310000013. The reversal of 13131310000000 is 1313131.

It is a happy number.

13131310000000 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 2×13131310000000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169961379 + ... + 170038621.

Almost surely, 2^{13131310000000} is an apocalyptic number.

13131310000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17311965446880).

13131310000000 is an abundant number, since it is smaller than the sum of its proper divisors (21492620893760).

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

13131310000000 is an frugal number, since it uses more digits than its factorization.

13131310000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77309 (or 77267 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13131310000000 its reverse (1313131), we get a palindrome (13131311313131).

13131310000000 divided by its reverse (1313131) gives a 7-th power (10000000 = 10⁷).

The spelling of 13131310000000 in words is "thirteen trillion, one hundred thirty-one billion, three hundred ten million", and thus it is an aban number.