13142304441140 has 96 divisors (see below), whose sum is σ = 31760677939200. Its totient is φ = 4474712854656.

The previous prime is 13142304441083. The next prime is 13142304441169. The reversal of 13142304441140 is 4114440324131.

It is a junction number, because it is equal to n+sod(n) for n = 13142304441097 and 13142304441106.

It is a congruent number.

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, 14119799 + ... + 15021761.

It is an arithmetic number, because the mean of its divisors is an integer number (330840395200).

Almost surely, 2^{13142304441140} is an apocalyptic number.

13142304441140 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 13142304441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15880338969600).

13142304441140 is an abundant number, since it is smaller than the sum of its proper divisors (18618373498060).

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

13142304441140 is a wasteful number, since it uses less digits than its factorization.

13142304441140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902701 (or 902699 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 13142304441140 its reverse (4114440324131), we get a palindrome (17256744765271).

The spelling of 13142304441140 in words is "thirteen trillion, one hundred forty-two billion, three hundred four million, four hundred forty-one thousand, one hundred forty".