13163065001040 has 160 divisors (see below), whose sum is σ = 41164265318400. Its totient is φ = 3479369402880.

The previous prime is 13163065000997. The next prime is 13163065001101. The reversal of 13163065001040 is 4010056036131.

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 = 13163065000989 and 13163065001007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20737501 + ... + 21362819.

It is an arithmetic number, because the mean of its divisors is an integer number (257276658240).

Almost surely, 2^{13163065001040} is an apocalyptic number.

13163065001040 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 13163065001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20582132659200).

13163065001040 is an abundant number, since it is smaller than the sum of its proper divisors (28001200317360).

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

13163065001040 is a wasteful number, since it uses less digits than its factorization.

13163065001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626105 (or 626099 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 13163065001040 in words is "thirteen trillion, one hundred sixty-three billion, sixty-five million, one thousand, forty".