13425501313040 has 160 divisors (see below), whose sum is σ = 31815168698880. Its totient is φ = 5267947520000.

The previous prime is 13425501312983. The next prime is 13425501313061. The reversal of 13425501313040 is 4031310552431.

It is a junction number, because it is equal to n+sod(n) for n = 13425501312988 and 13425501313006.

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, 459275225 + ... + 459304455.

It is an arithmetic number, because the mean of its divisors is an integer number (198844804368).

Almost surely, 2^{13425501313040} is an apocalyptic number.

13425501313040 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 13425501313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15907584349440).

13425501313040 is an abundant number, since it is smaller than the sum of its proper divisors (18389667385840).

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

13425501313040 is a wasteful number, since it uses less digits than its factorization.

13425501313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29841 (or 29835 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 13425501313040 its reverse (4031310552431), we get a palindrome (17456811865471).

The spelling of 13425501313040 in words is "thirteen trillion, four hundred twenty-five billion, five hundred one million, three hundred thirteen thousand, forty".