13001014313104 has 60 divisors (see below), whose sum is σ = 26589702017340. Its totient is φ = 6157286795520.

The previous prime is 13001014313069. The next prime is 13001014313191. The reversal of 13001014313104 is 40131341010031.

It can be written as a sum of positive squares in 2 ways, for example, as 10505688597504 + 2495325715600 = 3241248^2 + 1579660^2 .

It is a super-2 number, since 2×13001014313104² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32963982 + ... + 33356050.

It is an arithmetic number, because the mean of its divisors is an integer number (443161700289).

Almost surely, 2^{13001014313104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13001014313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13294851008670).

13001014313104 is an abundant number, since it is smaller than the sum of its proper divisors (13588687704236).

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

13001014313104 is a wasteful number, since it uses less digits than its factorization.

13001014313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397856 (or 397831 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13001014313104 its reverse (40131341010031), we get a palindrome (53132355323135).

The spelling of 13001014313104 in words is "thirteen trillion, one billion, fourteen million, three hundred thirteen thousand, one hundred four".