13105405254000 has 320 divisors, whose sum is σ = 44890126669440. Its totient is φ = 3283067289600.

The previous prime is 13105405253981. The next prime is 13105405254023. The reversal of 13105405254000 is 45250450131.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5420184 + ... + 7455816.

It is an arithmetic number, because the mean of its divisors is an integer number (140281645842).

Almost surely, 2^{13105405254000} is an apocalyptic number.

13105405254000 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 13105405254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22445063334720).

13105405254000 is an abundant number, since it is smaller than the sum of its proper divisors (31784721415440).

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

13105405254000 is a wasteful number, since it uses less digits than its factorization.

13105405254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035725 (or 2035709 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 13105405254000 in words is "thirteen trillion, one hundred five billion, four hundred five million, two hundred fifty-four thousand".