13155350431400 has 48 divisors (see below), whose sum is σ = 30739889292000. Its totient is φ = 5235697241280.

The previous prime is 13155350431397. The next prime is 13155350431417. The reversal of 13155350431400 is 413405355131.

It is a super-3 number, since 3×13155350431400³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165228422 + ... + 165308021.

It is an arithmetic number, because the mean of its divisors is an integer number (640414360250).

Almost surely, 2^{13155350431400} is an apocalyptic number.

13155350431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13155350431400 is an abundant number, since it is smaller than the sum of its proper divisors (17584538860600).

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

13155350431400 is a wasteful number, since it uses less digits than its factorization.

13155350431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330536658 (or 330536649 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 13155350431400 its reverse (413405355131), we get a palindrome (13568755786531).

The spelling of 13155350431400 in words is "thirteen trillion, one hundred fifty-five billion, three hundred fifty million, four hundred thirty-one thousand, four hundred".