401002013 has 2 divisors, whose sum is σ = 401002014. Its totient is φ = 401002012.

The previous prime is 401002009. The next prime is 401002027. The reversal of 401002013 is 310200104.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220314649 + 180687364 = 14843^2 + 13442^2 .

It is a cyclic number.

It is not a de Polignac number, because 401002013 - 2² = 401002009 is a prime.

It is a super-2 number, since 2×401002013² = 321605228860104338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401001985 and 401002003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401002513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200501006 + 200501007.

It is an arithmetic number, because the mean of its divisors is an integer number (200501007).

Almost surely, 2^401002013 is an apocalyptic number.

It is an amenable number.

401002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

401002013 is an equidigital number, since it uses as much as digits as its factorization.

401002013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 401002013 is about 20025.0346566492. The cubic root of 401002013 is about 737.4210279511.

Adding to 401002013 its reverse (310200104), we get a palindrome (711202117).

The spelling of 401002013 in words is "four hundred one million, two thousand, thirteen".