13124213210400 has 72 divisors (see below), whose sum is σ = 42719314007664. Its totient is φ = 3499790188800.

The previous prime is 13124213210399. The next prime is 13124213210419. The reversal of 13124213210400 is 401231242131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2734208686 + ... + 2734213485.

It is an arithmetic number, because the mean of its divisors is an integer number (593323805662).

Almost surely, 2^{13124213210400} is an apocalyptic number.

13124213210400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13124213210400 is an abundant number, since it is smaller than the sum of its proper divisors (29595100797264).

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

13124213210400 is a wasteful number, since it uses less digits than its factorization.

13124213210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468422194 (or 5468422181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13124213210400 its reverse (401231242131), we get a palindrome (13525444452531).

The spelling of 13124213210400 in words is "thirteen trillion, one hundred twenty-four billion, two hundred thirteen million, two hundred ten thousand, four hundred".