13431034201200 has 720 divisors, whose sum is σ = 54773536340736. Its totient is φ = 2781905817600.

The previous prime is 13431034201199. The next prime is 13431034201201. The reversal of 13431034201200 is 210243013431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13431034201199) and next prime (13431034201201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431034201201) 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 143 ways as a sum of consecutive naturals, for example, 202415229 + ... + 202481571.

Almost surely, 2^{13431034201200} is an apocalyptic number.

13431034201200 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 13431034201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27386768170368).

13431034201200 is an abundant number, since it is smaller than the sum of its proper divisors (41342502139536).

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

13431034201200 is a wasteful number, since it uses less digits than its factorization.

13431034201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66702 (or 66684 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13431034201200 its reverse (210243013431), we get a palindrome (13641277214631).

The spelling of 13431034201200 in words is "thirteen trillion, four hundred thirty-one billion, thirty-four million, two hundred one thousand, two hundred".