13002102000 has 240 divisors, whose sum is σ = 45859439808. Its totient is φ = 3433075200.

The previous prime is 13002101971. The next prime is 13002102013. The reversal of 13002102000 is 20120031.

It is a happy number.

13002102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1850494 + ... + 1857506.

Almost surely, 2^13002102000 is an apocalyptic number.

13002102000 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 13002102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22929719904).

13002102000 is an abundant number, since it is smaller than the sum of its proper divisors (32857337808).

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

13002102000 is a wasteful number, since it uses less digits than its factorization.

13002102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7145 (or 7126 counting only the distinct ones).

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

Adding to 13002102000 its reverse (20120031), we get a palindrome (13022222031).

The spelling of 13002102000 in words is "thirteen billion, two million, one hundred two thousand".