401333013 has 12 divisors (see below), whose sum is σ = 590641740. Its totient is φ = 262506816.

The previous prime is 401332973. The next prime is 401333017. The reversal of 401333013 is 310333104.

It can be written as a sum of positive squares in 2 ways, for example, as 100761444 + 300571569 = 10038^2 + 17337^2 .

It is not a de Polignac number, because 401333013 - 2⁶ = 401332949 is a prime.

It is a super-2 number, since 2×401333013² = 322136374647316338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401333017) 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 11 ways as a sum of consecutive naturals, for example, 420208 + ... + 421161.

It is an arithmetic number, because the mean of its divisors is an integer number (49220145).

Almost surely, 2^401333013 is an apocalyptic number.

It is an amenable number.

401333013 is a deficient number, since it is larger than the sum of its proper divisors (189308727).

401333013 is a wasteful number, since it uses less digits than its factorization.

401333013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841428 (or 841425 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 401333013 is about 20033.2976067346. The cubic root of 401333013 is about 737.6238691873.

Adding to 401333013 its reverse (310333104), we get a palindrome (711666117).

Subtracting from 401333013 its reverse (310333104), we obtain a palindrome (90999909).

The spelling of 401333013 in words is "four hundred one million, three hundred thirty-three thousand, thirteen".