401520413313 has 32 divisors (see below), whose sum is σ = 603698726400. Its totient is φ = 263725534800.

The previous prime is 401520413309. The next prime is 401520413317. The reversal of 401520413313 is 313314025104.

It is a happy number.

401520413313 is a `hidden beast` number, since 4 + 0 + 1 + 520 + 4 + 133 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (401520413309) and next prime (401520413317).

It is not a de Polignac number, because 401520413313 - 2² = 401520413309 is a prime.

It is a super-2 number, since 2×401520413313² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (401520413317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83298 + ... + 899988.

It is an arithmetic number, because the mean of its divisors is an integer number (18865585200).

Almost surely, 2^401520413313 is an apocalyptic number.

It is an amenable number.

401520413313 is a deficient number, since it is larger than the sum of its proper divisors (202178313087).

401520413313 is a wasteful number, since it uses less digits than its factorization.

401520413313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816970 (or 816964 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 401520413313 its reverse (313314025104), we get a palindrome (714834438417).

The spelling of 401520413313 in words is "four hundred one billion, five hundred twenty million, four hundred thirteen thousand, three hundred thirteen".