13456751232100 has 54 divisors (see below), whose sum is σ = 32097132037922. Its totient is φ = 4893364080000.

The previous prime is 13456751232083. The next prime is 13456751232101. The reversal of 13456751232100 is 123215765431.

It can be written as a sum of positive squares in 3 ways, for example, as 3591661748224 + 9865089483876 = 1895168^2 + 3140874^2 .

It is not an unprimeable number, because it can be changed into a prime (13456751232101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 556052001 + ... + 556076200.

Almost surely, 2^{13456751232100} is an apocalyptic number.

13456751232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13456751232100 is an abundant number, since it is smaller than the sum of its proper divisors (18640380805822).

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

13456751232100 is a wasteful number, since it uses less digits than its factorization.

13456751232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112128237 (or 1112128219 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

Adding to 13456751232100 its reverse (123215765431), we get a palindrome (13579966997531).

The spelling of 13456751232100 in words is "thirteen trillion, four hundred fifty-six billion, seven hundred fifty-one million, two hundred thirty-two thousand, one hundred".