13140351405120 has 224 divisors, whose sum is σ = 44497220721408. Its totient is φ = 3273897213952.

The previous prime is 13140351405091. The next prime is 13140351405133. The reversal of 13140351405120 is 2150415304131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702732 + ... + 5174411.

It is an arithmetic number, because the mean of its divisors is an integer number (198648306792).

Almost surely, 2^{13140351405120} is an apocalyptic number.

13140351405120 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 13140351405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22248610360704).

13140351405120 is an abundant number, since it is smaller than the sum of its proper divisors (31356869316288).

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

13140351405120 is a wasteful number, since it uses less digits than its factorization.

13140351405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5877317 (or 5877307 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 13140351405120 its reverse (2150415304131), we get a palindrome (15290766709251).

The spelling of 13140351405120 in words is "thirteen trillion, one hundred forty billion, three hundred fifty-one million, four hundred five thousand, one hundred twenty".