13102002000 has 480 divisors, whose sum is σ = 49537972224. Its totient is φ = 3214848000.

The previous prime is 13102001999. The next prime is 13102002071. The reversal of 13102002000 is 20020131.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14381545 + ... + 14382455.

Almost surely, 2^13102002000 is an apocalyptic number.

13102002000 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 13102002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24768986112).

13102002000 is an abundant number, since it is smaller than the sum of its proper divisors (36435970224).

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

13102002000 is a wasteful number, since it uses less digits than its factorization.

13102002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 13102002000 its reverse (20020131), we get a palindrome (13122022131).

The spelling of 13102002000 in words is "thirteen billion, one hundred two million, two thousand".