13105201200000 has 768 divisors, whose sum is σ = 53551927457280. Its totient is φ = 2765030400000.

The previous prime is 13105201199977. The next prime is 13105201200023. The reversal of 13105201200000 is 210250131.

It is an interprime number because it is at equal distance from previous prime (13105201199977) and next prime (13105201200023).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 109139995 + ... + 109260005.

It is an arithmetic number, because the mean of its divisors is an integer number (69729072210).

Almost surely, 2^{13105201200000} is an apocalyptic number.

13105201200000 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 13105201200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26775963728640).

13105201200000 is an abundant number, since it is smaller than the sum of its proper divisors (40446726257280).

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

13105201200000 is an equidigital number, since it uses as much as digits as its factorization.

13105201200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120073 (or 120041 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 13105201200000 its reverse (210250131), we get a palindrome (13105411450131).

The spelling of 13105201200000 in words is "thirteen trillion, one hundred five billion, two hundred one million, two hundred thousand".