13101200133100 has 72 divisors (see below), whose sum is σ = 28467459715968. Its totient is φ = 5233506854400.

The previous prime is 13101200133097. The next prime is 13101200133143. The reversal of 13101200133100 is 133100210131.

It is a super-2 number, since 2×13101200133100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232044474 + ... + 232100926.

It is an arithmetic number, because the mean of its divisors is an integer number (395381384944).

Almost surely, 2^{13101200133100} is an apocalyptic number.

13101200133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101200133100 is an abundant number, since it is smaller than the sum of its proper divisors (15366259582868).

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

13101200133100 is a wasteful number, since it uses less digits than its factorization.

13101200133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59515 (or 59508 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13101200133100 its reverse (133100210131), we get a palindrome (13234300343231).

The spelling of 13101200133100 in words is "thirteen trillion, one hundred one billion, two hundred million, one hundred thirty-three thousand, one hundred".