2013131220000 has 240 divisors, whose sum is σ = 6693946126560. Its totient is φ = 529479936000.

The previous prime is 2013131219971. The next prime is 2013131220017. The reversal of 2013131220000 is 221313102.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4150191 + ... + 4609809.

It is an arithmetic number, because the mean of its divisors is an integer number (27891442194).

Almost surely, 2^{2013131220000} is an apocalyptic number.

2013131220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013131220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346973063280).

2013131220000 is an abundant number, since it is smaller than the sum of its proper divisors (4680814906560).

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

2013131220000 is an equidigital number, since it uses as much as digits as its factorization.

2013131220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459725 (or 459702 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2013131220000 its reverse (221313102), we get a palindrome (2013352533102).

The spelling of 2013131220000 in words is "two trillion, thirteen billion, one hundred thirty-one million, two hundred twenty thousand".