2013531310400 has 84 divisors (see below), whose sum is σ = 5048027683452. Its totient is φ = 790216028160.

The previous prime is 2013531310361. The next prime is 2013531310421. The reversal of 2013531310400 is 40131353102.

It can be written as a sum of positive squares in 6 ways, for example, as 297871442176 + 1715659868224 = 545776^2 + 1309832^2 .

It is a super-2 number, since 2×2013531310400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 11787437 + ... + 11957036.

Almost surely, 2^{2013531310400} is an apocalyptic number.

2013531310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013531310400 is an abundant number, since it is smaller than the sum of its proper divisors (3034496373052).

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

2013531310400 is a wasteful number, since it uses less digits than its factorization.

2013531310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23744548 (or 23744533 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 2013531310400 its reverse (40131353102), we get a palindrome (2053662663502).

The spelling of 2013531310400 in words is "two trillion, thirteen billion, five hundred thirty-one million, three hundred ten thousand, four hundred".