4013320401 has 6 divisors (see below), whose sum is σ = 5797018370. Its totient is φ = 2675546928.

The previous prime is 4013320379. The next prime is 4013320433. The reversal of 4013320401 is 1040233104.

It can be written as a sum of positive squares in only one way, i.e., 3782250000 + 231070401 = 61500^2 + 15201^2 .

It is not a de Polignac number, because 4013320401 - 2¹⁰ = 4013319377 is a prime.

It is a super-2 number, since 2×4013320401² = 32213481282165601602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4013320471) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222962236 + ... + 222962253.

Almost surely, 2^4013320401 is an apocalyptic number.

It is an amenable number.

4013320401 is a deficient number, since it is larger than the sum of its proper divisors (1783697969).

4013320401 is a wasteful number, since it uses less digits than its factorization.

4013320401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445924495 (or 445924492 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4013320401 is about 63350.7726945773. The cubic root of 4013320401 is about 1589.1611678375.

Adding to 4013320401 its reverse (1040233104), we get a palindrome (5053553505).

The spelling of 4013320401 in words is "four billion, thirteen million, three hundred twenty thousand, four hundred one".