13121101102000 has 80 divisors (see below), whose sum is σ = 31741568980992. Its totient is φ = 5246000985600.

The previous prime is 13121101101949. The next prime is 13121101102019. The reversal of 13121101102000 is 20110112131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13121101102000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2782417 + ... + 5829583.

Almost surely, 2^{13121101102000} is an apocalyptic number.

13121101102000 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 13121101102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15870784490496).

13121101102000 is an abundant number, since it is smaller than the sum of its proper divisors (18620467878992).

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

13121101102000 is a wasteful number, since it uses less digits than its factorization.

13121101102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049343 (or 3049327 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 13121101102000 its reverse (20110112131), we get a palindrome (13141211214131).

The spelling of 13121101102000 in words is "thirteen trillion, one hundred twenty-one billion, one hundred one million, one hundred two thousand".