13121401210000 has 200 divisors, whose sum is σ = 33695491709880. Its totient is φ = 4931223552000.

The previous prime is 13121401209967. The next prime is 13121401210019. The reversal of 13121401210000 is 1210412131.

It can be written as a sum of positive squares in 20 ways, for example, as 6927992523664 + 6193408686336 = 2632108^2 + 2488656^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98023116 + ... + 98156884.

Almost surely, 2^{13121401210000} is an apocalyptic number.

13121401210000 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 13121401210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16847745854940).

13121401210000 is an abundant number, since it is smaller than the sum of its proper divisors (20574090499880).

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

13121401210000 is a wasteful number, since it uses less digits than its factorization.

13121401210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134391 (or 134370 counting only the distinct ones).

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

Adding to 13121401210000 its reverse (1210412131), we get a palindrome (13122611622131).

The spelling of 13121401210000 in words is "thirteen trillion, one hundred twenty-one billion, four hundred one million, two hundred ten thousand".