13135227361100 has 72 divisors (see below), whose sum is σ = 30740440642128. Its totient is φ = 4842911059200.

The previous prime is 13135227361049. The next prime is 13135227361103. The reversal of 13135227361100 is 116372253131.

It is not an unprimeable number, because it can be changed into a prime (13135227361103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6412859 + ... + 8209458.

It is an arithmetic number, because the mean of its divisors is an integer number (426950564474).

Almost surely, 2^{13135227361100} is an apocalyptic number.

13135227361100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13135227361100 is an abundant number, since it is smaller than the sum of its proper divisors (17605213281028).

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

13135227361100 is a wasteful number, since it uses less digits than its factorization.

13135227361100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14623035 (or 14623028 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 13135227361100 in words is "thirteen trillion, one hundred thirty-five billion, two hundred twenty-seven million, three hundred sixty-one thousand, one hundred".