2013353004600 has 192 divisors, whose sum is σ = 7925580230400. Its totient is φ = 460194963840.

The previous prime is 2013353004583. The next prime is 2013353004601. The reversal of 2013353004600 is 64003533102.

It is a happy number.

2013353004600 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 3 + 53 + 0 + 0 + 4 + 600 = 666.

It is a super-2 number, since 2×2013353004600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013353004601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26593854 + ... + 26669453.

It is an arithmetic number, because the mean of its divisors is an integer number (41279063700).

Almost surely, 2^{2013353004600} is an apocalyptic number.

2013353004600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013353004600 is an abundant number, since it is smaller than the sum of its proper divisors (5912227225800).

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

2013353004600 is a wasteful number, since it uses less digits than its factorization.

2013353004600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53263339 (or 53263324 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 2013353004600 its reverse (64003533102), we get a palindrome (2077356537702).

The spelling of 2013353004600 in words is "two trillion, thirteen billion, three hundred fifty-three million, four thousand, six hundred".