13109870740200 has 384 divisors, whose sum is σ = 44447607254400. Its totient is φ = 3177193144320.

The previous prime is 13109870740189. The next prime is 13109870740243. The reversal of 13109870740200 is 204707890131.

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 95 ways as a sum of consecutive naturals, for example, 145978911 + ... + 146068689.

It is an arithmetic number, because the mean of its divisors is an integer number (115748977225).

Almost surely, 2^{13109870740200} is an apocalyptic number.

13109870740200 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 13109870740200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22223803627200).

13109870740200 is an abundant number, since it is smaller than the sum of its proper divisors (31337736514200).

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

13109870740200 is a wasteful number, since it uses less digits than its factorization.

13109870740200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90101 (or 90092 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 13109870740200 in words is "thirteen trillion, one hundred nine billion, eight hundred seventy million, seven hundred forty thousand, two hundred".