13123421403400 has 384 divisors, whose sum is σ = 38875583232000. Its totient is φ = 4084267756800.

The previous prime is 13123421403397. The next prime is 13123421403427. The reversal of 13123421403400 is 430412432131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 515379069 + ... + 515404531.

It is an arithmetic number, because the mean of its divisors is an integer number (101238498000).

Almost surely, 2^{13123421403400} is an apocalyptic number.

13123421403400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123421403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19437791616000).

13123421403400 is an abundant number, since it is smaller than the sum of its proper divisors (25752161828600).

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

13123421403400 is a wasteful number, since it uses less digits than its factorization.

13123421403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26194 (or 26171 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13123421403400 its reverse (430412432131), we get a palindrome (13553833835531).

The spelling of 13123421403400 in words is "thirteen trillion, one hundred twenty-three billion, four hundred twenty-one million, four hundred three thousand, four hundred".