13131242434400 has 36 divisors (see below), whose sum is σ = 32056645594932. Its totient is φ = 5252496973440.

The previous prime is 13131242434391. The next prime is 13131242434403. The reversal of 13131242434400 is 443424213131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131242434403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8207025722 + ... + 8207027321.

It is an arithmetic number, because the mean of its divisors is an integer number (890462377637).

Almost surely, 2^{13131242434400} is an apocalyptic number.

13131242434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131242434400 is an abundant number, since it is smaller than the sum of its proper divisors (18925403160532).

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

13131242434400 is a wasteful number, since it uses less digits than its factorization.

13131242434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16414053063 (or 16414053050 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 13131242434400 its reverse (443424213131), we get a palindrome (13574666647531).

The spelling of 13131242434400 in words is "thirteen trillion, one hundred thirty-one billion, two hundred forty-two million, four hundred thirty-four thousand, four hundred".