13130000202000 has 640 divisors, whose sum is σ = 48664873820160. Its totient is φ = 3014457600000.

The previous prime is 13130000201959. The next prime is 13130000202019. The reversal of 13130000202000 is 20200003131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153275181 + ... + 153360819.

It is an arithmetic number, because the mean of its divisors is an integer number (76038865344).

Almost surely, 2^{13130000202000} is an apocalyptic number.

13130000202000 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 13130000202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24332436910080).

13130000202000 is an abundant number, since it is smaller than the sum of its proper divisors (35534873618160).

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

13130000202000 is a wasteful number, since it uses less digits than its factorization.

13130000202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85800 (or 85784 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13130000202000 its reverse (20200003131), we get a palindrome (13150200205131).

The spelling of 13130000202000 in words is "thirteen trillion, one hundred thirty billion, two hundred two thousand".