13013002000 has 80 divisors (see below), whose sum is σ = 31605155712. Its totient is φ = 5182089600.

The previous prime is 13013001997. The next prime is 13013002027. The reversal of 13013002000 is 20031031.

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 (10).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439669 + ... + 468331.

Almost surely, 2^13013002000 is an apocalyptic number.

13013002000 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 13013002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15802577856).

13013002000 is an abundant number, since it is smaller than the sum of its proper divisors (18592153712).

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

13013002000 is a wasteful number, since it uses less digits than its factorization.

13013002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28913 (or 28897 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 13013002000 its reverse (20031031), we get a palindrome (13033033031).

The spelling of 13013002000 in words is "thirteen billion, thirteen million, two thousand".