13330133422140 has 192 divisors, whose sum is σ = 40798735810560. Its totient is φ = 3237364039680.

The previous prime is 13330133422139. The next prime is 13330133422181. The reversal of 13330133422140 is 4122433103331.

13330133422140 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 13330133422098 and 13330133422107.

It is a congruent number.

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, 636911196 + ... + 636932124.

It is an arithmetic number, because the mean of its divisors is an integer number (212493415680).

Almost surely, 2^{13330133422140} is an apocalyptic number.

13330133422140 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 13330133422140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20399367905280).

13330133422140 is an abundant number, since it is smaller than the sum of its proper divisors (27468602388420).

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

13330133422140 is a wasteful number, since it uses less digits than its factorization.

13330133422140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41132 (or 41130 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 13330133422140 its reverse (4122433103331), we get a palindrome (17452566525471).

The spelling of 13330133422140 in words is "thirteen trillion, three hundred thirty billion, one hundred thirty-three million, four hundred twenty-two thousand, one hundred forty".