2013314020000 has 120 divisors (see below), whose sum is σ = 5073862759812. Its totient is φ = 785683200000.

The previous prime is 2013314019989. The next prime is 2013314020013. The reversal of 2013314020000 is 204133102.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 586713104784 + 1426600915216 = 765972^2 + 1194404^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 407631 + ... + 2047630.

Almost surely, 2^{2013314020000} is an apocalyptic number.

2013314020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013314020000 is an abundant number, since it is smaller than the sum of its proper divisors (3060548739812).

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

2013314020000 is an equidigital number, since it uses as much as digits as its factorization.

2013314020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455332 (or 2455309 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2013314020000 its reverse (204133102), we get a palindrome (2013518153102).

The spelling of 2013314020000 in words is "two trillion, thirteen billion, three hundred fourteen million, twenty thousand".