13021301121000 has 1024 divisors, whose sum is σ = 44019376128000. Its totient is φ = 3197235430400.

The previous prime is 13021301120929. The next prime is 13021301121019. The reversal of 13021301121000 is 12110312031.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 72744698911 + ... + 72744699089.

It is an arithmetic number, because the mean of its divisors is an integer number (42987672000).

Almost surely, 2^{13021301121000} is an apocalyptic number.

13021301121000 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 13021301121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22009688064000).

13021301121000 is an abundant number, since it is smaller than the sum of its proper divisors (30998075007000).

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

13021301121000 is a wasteful number, since it uses less digits than its factorization.

13021301121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13021301121000 its reverse (12110312031), we get a palindrome (13033411433031).

The spelling of 13021301121000 in words is "thirteen trillion, twenty-one billion, three hundred one million, one hundred twenty-one thousand".