13012314320 has 80 divisors (see below), whose sum is σ = 31108008960. Its totient is φ = 5058892800.

The previous prime is 13012314283. The next prime is 13012314353. The reversal of 13012314320 is 2341321031.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 13012314292 and 13012314301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881561 + ... + 896199.

It is an arithmetic number, because the mean of its divisors is an integer number (388850112).

Almost surely, 2^13012314320 is an apocalyptic number.

13012314320 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 13012314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554004480).

13012314320 is an abundant number, since it is smaller than the sum of its proper divisors (18095694640).

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

13012314320 is a wasteful number, since it uses less digits than its factorization.

13012314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14964 (or 14958 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13012314320 its reverse (2341321031), we get a palindrome (15353635351).

The spelling of 13012314320 in words is "thirteen billion, twelve million, three hundred fourteen thousand, three hundred twenty".