13121122201000 has 512 divisors, whose sum is σ = 35822392819200. Its totient is φ = 4448332800000.

The previous prime is 13121122200959. The next prime is 13121122201013. The reversal of 13121122201000 is 10222112131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3651855204 + ... + 3651858796.

It is an arithmetic number, because the mean of its divisors is an integer number (69965610975).

Almost surely, 2^{13121122201000} is an apocalyptic number.

13121122201000 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 13121122201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17911196409600).

13121122201000 is an abundant number, since it is smaller than the sum of its proper divisors (22701270618200).

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

13121122201000 is a wasteful number, since it uses less digits than its factorization.

13121122201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 13121122201000 its reverse (10222112131), we get a palindrome (13131344313131).

The spelling of 13121122201000 in words is "thirteen trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred one thousand".