13101200133012 has 96 divisors (see below), whose sum is σ = 35138538220800. Its totient is φ = 4216331822976.

The previous prime is 13101200133011. The next prime is 13101200133097. The reversal of 13101200133012 is 21033100210131.

13101200133012 is a `hidden beast` number, since 1 + 310 + 1 + 20 + 0 + 1 + 330 + 1 + 2 = 666.

13101200133012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101200133011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123996318 + ... + 124101930.

It is an arithmetic number, because the mean of its divisors is an integer number (366026439800).

Almost surely, 2^{13101200133012} is an apocalyptic number.

13101200133012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13101200133012 is an abundant number, since it is smaller than the sum of its proper divisors (22037338087788).

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

13101200133012 is a wasteful number, since it uses less digits than its factorization.

13101200133012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145262 (or 145254 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13101200133012 its reverse (21033100210131), we get a palindrome (34134300343143).

The spelling of 13101200133012 in words is "thirteen trillion, one hundred one billion, two hundred million, one hundred thirty-three thousand, twelve".