13142225121040 has 80 divisors (see below), whose sum is σ = 31543376094720. Its totient is φ = 5086984596480.

The previous prime is 13142225120953. The next prime is 13142225121059. The reversal of 13142225121040 is 4012152224131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13142225121040² (a number of 27 digits) contains 22 as substring.

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, 40179276 + ... + 40505044.

It is an arithmetic number, because the mean of its divisors is an integer number (394292201184).

Almost surely, 2^{13142225121040} is an apocalyptic number.

13142225121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142225121040 is an abundant number, since it is smaller than the sum of its proper divisors (18401150973680).

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

13142225121040 is a wasteful number, since it uses less digits than its factorization.

13142225121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342080 (or 342074 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 13142225121040 its reverse (4012152224131), we get a palindrome (17154377345171).

The spelling of 13142225121040 in words is "thirteen trillion, one hundred forty-two billion, two hundred twenty-five million, one hundred twenty-one thousand, forty".