13201155042300 has 216 divisors, whose sum is σ = 43824905089056. Its totient is φ = 3312278138880.

The previous prime is 13201155042293. The next prime is 13201155042311. The reversal of 13201155042300 is 324055110231.

13201155042300 is a `hidden beast` number, since 1 + 3 + 20 + 115 + 504 + 23 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53840784 + ... + 54085416.

It is an arithmetic number, because the mean of its divisors is an integer number (202893079116).

Almost surely, 2^{13201155042300} is an apocalyptic number.

13201155042300 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 13201155042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21912452544528).

13201155042300 is an abundant number, since it is smaller than the sum of its proper divisors (30623750046756).

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

13201155042300 is a wasteful number, since it uses less digits than its factorization.

13201155042300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248197 (or 248187 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 13201155042300 in words is "thirteen trillion, two hundred one billion, one hundred fifty-five million, forty-two thousand, three hundred".