13143034200400 has 240 divisors, whose sum is σ = 34208585243056. Its totient is φ = 4823810703360.

The previous prime is 13143034200391. The next prime is 13143034200431. The reversal of 13143034200400 is 400243034131.

It can be written as a sum of positive squares in 24 ways, for example, as 8859028393744 + 4284005806656 = 2976412^2 + 2069784^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1458226294 + ... + 1458235306.

Almost surely, 2^{13143034200400} is an apocalyptic number.

13143034200400 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 13143034200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17104292621528).

13143034200400 is an abundant number, since it is smaller than the sum of its proper divisors (21065551042656).

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

13143034200400 is a wasteful number, since it uses less digits than its factorization.

13143034200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10690 (or 10679 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 13143034200400 its reverse (400243034131), we get a palindrome (13543277234531).

The spelling of 13143034200400 in words is "thirteen trillion, one hundred forty-three billion, thirty-four million, two hundred thousand, four hundred".