13130314000 has 80 divisors (see below), whose sum is σ = 32196617856. Its totient is φ = 5178096000.

The previous prime is 13130313979. The next prime is 13130314003. The reversal of 13130314000 is 41303131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13130314003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95767 + ... + 188233.

Almost surely, 2^13130314000 is an apocalyptic number.

13130314000 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 13130314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098308928).

13130314000 is an abundant number, since it is smaller than the sum of its proper divisors (19066303856).

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

13130314000 is an equidigital number, since it uses as much as digits as its factorization.

13130314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92561 (or 92545 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13130314000 its reverse (41303131), we get a palindrome (13171617131).

The spelling of 13130314000 in words is "thirteen billion, one hundred thirty million, three hundred fourteen thousand".