13141341323040 has 96 divisors (see below), whose sum is σ = 47308828775040. Its totient is φ = 3003735158784.

The previous prime is 13141341323021. The next prime is 13141341323041. The reversal of 13141341323040 is 4032314314131.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 13141341322989 and 13141341323007.

It is not an unprimeable number, because it can be changed into a prime (13141341323041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1955553385 + ... + 1955560104.

It is an arithmetic number, because the mean of its divisors is an integer number (492800299740).

Almost surely, 2^{13141341323040} is an apocalyptic number.

13141341323040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13141341323040 is an abundant number, since it is smaller than the sum of its proper divisors (34167487452000).

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

13141341323040 is a wasteful number, since it uses less digits than its factorization.

13141341323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911113514 (or 3911113506 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13141341323040 its reverse (4032314314131), we get a palindrome (17173655637171).

The spelling of 13141341323040 in words is "thirteen trillion, one hundred forty-one billion, three hundred forty-one million, three hundred twenty-three thousand, forty".