401331013 has 2 divisors, whose sum is σ = 401331014. Its totient is φ = 401331012.

The previous prime is 401331011. The next prime is 401331031. The reversal of 401331013 is 310133104.

Together with next prime (401331031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 399320289 + 2010724 = 19983^2 + 1418^2 .

It is a cyclic number.

It is not a de Polignac number, because 401331013 - 2¹ = 401331011 is a prime.

It is a super-2 number, since 2×401331013² = 322133163991212338, which contains 22 as substring.

Together with 401331011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401331011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200665506 + 200665507.

It is an arithmetic number, because the mean of its divisors is an integer number (200665507).

Almost surely, 2^401331013 is an apocalyptic number.

It is an amenable number.

401331013 is a deficient number, since it is larger than the sum of its proper divisors (1).

401331013 is an equidigital number, since it uses as much as digits as its factorization.

401331013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 401331013 is about 20033.2476897781. The cubic root of 401331013 is about 737.6226438955.

Adding to 401331013 its reverse (310133104), we get a palindrome (711464117).

It can be divided in two parts, 40133101 and 3, that added together give a palindrome (40133104).

The spelling of 401331013 in words is "four hundred one million, three hundred thirty-one thousand, thirteen".