13001301000 has 192 divisors, whose sum is σ = 46257868800. Its totient is φ = 3284496000.

The previous prime is 13001300989. The next prime is 13001301059. The reversal of 13001301000 is 10310031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132985 + ... + 209015.

It is an arithmetic number, because the mean of its divisors is an integer number (240926400).

Almost surely, 2^13001301000 is an apocalyptic number.

13001301000 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 13001301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23128934400).

13001301000 is an abundant number, since it is smaller than the sum of its proper divisors (33256567800).

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

13001301000 is a wasteful number, since it uses less digits than its factorization.

13001301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76077 (or 76060 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 13001301000 its reverse (10310031), we get a palindrome (13011611031).

The spelling of 13001301000 in words is "thirteen billion, one million, three hundred one thousand".