2013313241000 has 128 divisors (see below), whose sum is σ = 4829450895360. Its totient is φ = 785131072000.

The previous prime is 2013313240987. The next prime is 2013313241021. The reversal of 2013313241000 is 1423133102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60950489 + ... + 60983511.

It is an arithmetic number, because the mean of its divisors is an integer number (37730085120).

Almost surely, 2^{2013313241000} is an apocalyptic number.

2013313241000 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 2013313241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414725447680).

2013313241000 is an abundant number, since it is smaller than the sum of its proper divisors (2816137654360).

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

2013313241000 is a wasteful number, since it uses less digits than its factorization.

2013313241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34572 (or 34558 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2013313241000 its reverse (1423133102), we get a palindrome (2014736374102).

The spelling of 2013313241000 in words is "two trillion, thirteen billion, three hundred thirteen million, two hundred forty-one thousand".