4113051072001 has 2 divisors, whose sum is σ = 4113051072002. Its totient is φ = 4113051072000.

The previous prime is 4113051071977. The next prime is 4113051072023. The reversal of 4113051072001 is 1002701503114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2989077921025 + 1123973150976 = 1728895^2 + 1060176^2 .

It is a cyclic number.

It is not a de Polignac number, because 4113051072001 - 2²¹ = 4113048974849 is a prime.

It is a super-2 number, since 2×4113051072001² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4113051072061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2056525536000 + 2056525536001.

It is an arithmetic number, because the mean of its divisors is an integer number (2056525536001).

Almost surely, 2^{4113051072001} is an apocalyptic number.

It is an amenable number.

4113051072001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4113051072001 is an equidigital number, since it uses as much as digits as its factorization.

4113051072001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 25.

Adding to 4113051072001 its reverse (1002701503114), we get a palindrome (5115752575115).

The spelling of 4113051072001 in words is "four trillion, one hundred thirteen billion, fifty-one million, seventy-two thousand, one".