2013102332240 has 40 divisors (see below), whose sum is σ = 4680522365640. Its totient is φ = 805230706176.

The previous prime is 2013102332191. The next prime is 2013102332347. The reversal of 2013102332240 is 422332013102.

It can be written as a sum of positive squares in 4 ways, for example, as 1310878444096 + 702223888144 = 1144936^2 + 837988^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 11155046 + ... + 11334074.

It is an arithmetic number, because the mean of its divisors is an integer number (117013059141).

Almost surely, 2^{2013102332240} is an apocalyptic number.

2013102332240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013102332240 is an abundant number, since it is smaller than the sum of its proper divisors (2667420033400).

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

2013102332240 is a wasteful number, since it uses less digits than its factorization.

2013102332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319599 (or 319593 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2013102332240 its reverse (422332013102), we get a palindrome (2435434345342).

The spelling of 2013102332240 in words is "two trillion, thirteen billion, one hundred two million, three hundred thirty-two thousand, two hundred forty".