13321251412000 has 384 divisors, whose sum is σ = 39108045570048. Its totient is φ = 4360245120000.

The previous prime is 13321251411997. The next prime is 13321251412031. The reversal of 13321251412000 is 21415212331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336792225 + ... + 336831775.

It is an arithmetic number, because the mean of its divisors is an integer number (101843868672).

Almost surely, 2^{13321251412000} is an apocalyptic number.

13321251412000 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 13321251412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19554022785024).

13321251412000 is an abundant number, since it is smaller than the sum of its proper divisors (25786794158048).

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

13321251412000 is a wasteful number, since it uses less digits than its factorization.

13321251412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40129 (or 40111 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 13321251412000 its reverse (21415212331), we get a palindrome (13342666624331).

The spelling of 13321251412000 in words is "thirteen trillion, three hundred twenty-one billion, two hundred fifty-one million, four hundred twelve thousand".