13201013013000 has 128 divisors (see below), whose sum is σ = 41262462184320. Its totient is φ = 3513834105600.

The previous prime is 13201013012947. The next prime is 13201013013011. The reversal of 13201013013000 is 31031010231.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 2381247 + ... + 5663246.

It is an arithmetic number, because the mean of its divisors is an integer number (322362985815).

Almost surely, 2^{13201013013000} is an apocalyptic number.

13201013013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201013013000 is an abundant number, since it is smaller than the sum of its proper divisors (28061449171320).

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

13201013013000 is a wasteful number, since it uses less digits than its factorization.

13201013013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8045064 (or 8045050 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13201013013000 its reverse (31031010231), we get a palindrome (13232044023231).

The spelling of 13201013013000 in words is "thirteen trillion, two hundred one billion, thirteen million, thirteen thousand".