13402133121040 has 20 divisors (see below), whose sum is σ = 31159959506604. Its totient is φ = 5360853248384.

The previous prime is 13402133121017. The next prime is 13402133121103. The reversal of 13402133121040 is 4012133120431.

It can be written as a sum of positive squares in 2 ways, for example, as 7871301581056 + 5530831539984 = 2805584^2 + 2351772^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 13402133120996 and 13402133121014.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83763331927 + ... + 83763332086.

Almost surely, 2^{13402133121040} is an apocalyptic number.

13402133121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13402133121040 is an abundant number, since it is smaller than the sum of its proper divisors (17757826385564).

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

13402133121040 is a wasteful number, since it uses less digits than its factorization.

13402133121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167526664026 (or 167526664020 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 13402133121040 its reverse (4012133120431), we get a palindrome (17414266241471).

The spelling of 13402133121040 in words is "thirteen trillion, four hundred two billion, one hundred thirty-three million, one hundred twenty-one thousand, forty".