4003120234113 has 384 divisors, whose sum is σ = 7690365296640. Its totient is φ = 1794805309440.

The previous prime is 4003120234079. The next prime is 4003120234163. The reversal of 4003120234113 is 3114320213004.

It is a happy number.

It is not a de Polignac number, because 4003120234113 - 2¹⁸ = 4003119971969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4003120234163) 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 383 ways as a sum of consecutive naturals, for example, 10290797323 + ... + 10290797711.

It is an arithmetic number, because the mean of its divisors is an integer number (20026992960).

Almost surely, 2^{4003120234113} is an apocalyptic number.

It is an amenable number.

4003120234113 is a deficient number, since it is larger than the sum of its proper divisors (3687245062527).

4003120234113 is a wasteful number, since it uses less digits than its factorization.

4003120234113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4003120234113 its reverse (3114320213004), we get a palindrome (7117440447117).

The spelling of 4003120234113 in words is "four trillion, three billion, one hundred twenty million, two hundred thirty-four thousand, one hundred thirteen".