3013120113003 has 192 divisors, whose sum is σ = 5901416801280. Its totient is φ = 1430634700800.

The previous prime is 3013120112987. The next prime is 3013120113079. The reversal of 3013120113003 is 3003110213103.

It is a happy number.

3013120113003 is a `hidden beast` number, since 30 + 131 + 201 + 1 + 300 + 3 = 666.

It is not a de Polignac number, because 3013120113003 - 2⁴ = 3013120112987 is a prime.

It is a super-2 number, since 2×3013120113003² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3013120115003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 388635375 + ... + 388643127.

It is an arithmetic number, because the mean of its divisors is an integer number (30736545840).

Almost surely, 2^{3013120113003} is an apocalyptic number.

3013120113003 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3013120113003 is a deficient number, since it is larger than the sum of its proper divisors (2888296688277).

3013120113003 is a wasteful number, since it uses less digits than its factorization.

3013120113003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8210 (or 8207 counting only the distinct ones).

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

Adding to 3013120113003 its reverse (3003110213103), we get a palindrome (6016230326106).

The spelling of 3013120113003 in words is "three trillion, thirteen billion, one hundred twenty million, one hundred thirteen thousand, three".