13141111001200 has 720 divisors, whose sum is σ = 40292751723840. Its totient is φ = 4081287168000.

The previous prime is 13141111001131. The next prime is 13141111001219. The reversal of 13141111001200 is 210011114131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9962934141 + ... + 9962935459.

It is an arithmetic number, because the mean of its divisors is an integer number (55962155172).

Almost surely, 2^{13141111001200} is an apocalyptic number.

13141111001200 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 13141111001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20146375861920).

13141111001200 is an abundant number, since it is smaller than the sum of its proper divisors (27151640722640).

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

13141111001200 is a wasteful number, since it uses less digits than its factorization.

13141111001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 13141111001200 its reverse (210011114131), we get a palindrome (13351122115331).

The spelling of 13141111001200 in words is "thirteen trillion, one hundred forty-one billion, one hundred eleven million, one thousand, two hundred".