3013113600000 has 2304 divisors, whose sum is σ = 13266950860800. Its totient is φ = 661340160000.

The previous prime is 3013113599989. The next prime is 3013113600097. The reversal of 3013113600000 is 63113103.

3013113600000 is a `hidden beast` number, since 30 + 1 + 31 + 1 + 3 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56851199974 + ... + 56851200026.

It is an arithmetic number, because the mean of its divisors is an integer number (5758225200).

Almost surely, 2^{3013113600000} is an apocalyptic number.

3013113600000 is a gapful number since it is divisible by the number (30) 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 3013113600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6633475430400).

3013113600000 is an abundant number, since it is smaller than the sum of its proper divisors (10253837260800).

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

3013113600000 is an frugal number, since it uses more digits than its factorization.

3013113600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3013113600000 its reverse (63113103), we get a palindrome (3013176713103).

The spelling of 3013113600000 in words is "three trillion, thirteen billion, one hundred thirteen million, six hundred thousand".