13012314000 has 320 divisors, whose sum is σ = 48134062080. Its totient is φ = 2962521600.

The previous prime is 13012313983. The next prime is 13012314019. The reversal of 13012314000 is 41321031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15077569 + ... + 15078431.

It is an arithmetic number, because the mean of its divisors is an integer number (150418944).

Almost surely, 2^13012314000 is an apocalyptic number.

13012314000 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 13012314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24067031040).

13012314000 is an abundant number, since it is smaller than the sum of its proper divisors (35121748080).

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

13012314000 is a wasteful number, since it uses less digits than its factorization.

13012314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13012314000 its reverse (41321031), we get a palindrome (13053635031).

The spelling of 13012314000 in words is "thirteen billion, twelve million, three hundred fourteen thousand".