13315138511040 has 168 divisors, whose sum is σ = 45826521839280. Its totient is φ = 3548533315584.

The previous prime is 13315138510909. The next prime is 13315138511069. The reversal of 13315138511040 is 4011583151331.

13315138511040 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 5 + 138 + 511 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13315138510986 and 13315138511004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3302431 + ... + 6126689.

It is an arithmetic number, because the mean of its divisors is an integer number (272776915710).

Almost surely, 2^{13315138511040} is an apocalyptic number.

13315138511040 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 13315138511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913260919640).

13315138511040 is an abundant number, since it is smaller than the sum of its proper divisors (32511383328240).

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

13315138511040 is a wasteful number, since it uses less digits than its factorization.

13315138511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825919 (or 2825906 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 13315138511040 in words is "thirteen trillion, three hundred fifteen billion, one hundred thirty-eight million, five hundred eleven thousand, forty".