13311251030000 has 800 divisors, whose sum is σ = 41107646942208. Its totient is φ = 4054118400000.

The previous prime is 13311251029997. The next prime is 13311251030023. The reversal of 13311251030000 is 3015211331.

13311251030000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7843989152 + ... + 7843990848.

Almost surely, 2^{13311251030000} is an apocalyptic number.

13311251030000 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 13311251030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20553823471104).

13311251030000 is an abundant number, since it is smaller than the sum of its proper divisors (27796395912208).

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

13311251030000 is a wasteful number, since it uses less digits than its factorization.

13311251030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 13311251030000 its reverse (3015211331), we get a palindrome (13314266241331).

The spelling of 13311251030000 in words is "thirteen trillion, three hundred eleven billion, two hundred fifty-one million, thirty thousand".