13130310000000 has 256 divisors, whose sum is σ = 43596720423360. Its totient is φ = 3501408000000.

The previous prime is 13130309999999. The next prime is 13130310000013. The reversal of 13130310000000 is 1303131.

13130310000000 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 2×13130310000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 29781162 + ... + 30218838.

Almost surely, 2^{13130310000000} is an apocalyptic number.

13130310000000 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 13130310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21798360211680).

13130310000000 is an abundant number, since it is smaller than the sum of its proper divisors (30466410423360).

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

13130310000000 is an frugal number, since it uses more digits than its factorization.

13130310000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437729 (or 437687 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13130310000000 its reverse (1303131), we get a palindrome (13130311303131).

The spelling of 13130310000000 in words is "thirteen trillion, one hundred thirty billion, three hundred ten million", and thus it is an aban number.