20131213110000 has 100 divisors (see below), whose sum is σ = 64986240177672. Its totient is φ = 5368323488000.

The previous prime is 20131213109963. The next prime is 20131213110011. The reversal of 20131213110000 is 1131213102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 335490219 + ... + 335550218.

Almost surely, 2^{20131213110000} is an apocalyptic number.

20131213110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131213110000 is an abundant number, since it is smaller than the sum of its proper divisors (44855027067672).

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

20131213110000 is an equidigital number, since it uses as much as digits as its factorization.

20131213110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671040468 (or 671040447 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 20131213110000 its reverse (1131213102), we get a palindrome (20132344323102).

The spelling of 20131213110000 in words is "twenty trillion, one hundred thirty-one billion, two hundred thirteen million, one hundred ten thousand".