13142344051040 has 96 divisors (see below), whose sum is σ = 31672790916480. Its totient is φ = 5151525709824.

The previous prime is 13142344051037. The next prime is 13142344051051. The reversal of 13142344051040 is 4015044324131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13142344050988 and 13142344051006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6095177 + ... + 7964663.

It is an arithmetic number, because the mean of its divisors is an integer number (329924905380).

Almost surely, 2^{13142344051040} is an apocalyptic number.

13142344051040 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 13142344051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15836395458240).

13142344051040 is an abundant number, since it is smaller than the sum of its proper divisors (18530446865440).

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

13142344051040 is a wasteful number, since it uses less digits than its factorization.

13142344051040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870384 (or 1870376 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 13142344051040 its reverse (4015044324131), we get a palindrome (17157388375171).

The spelling of 13142344051040 in words is "thirteen trillion, one hundred forty-two billion, three hundred forty-four million, fifty-one thousand, forty".