10001313331 has 8 divisors (see below), whose sum is σ = 10129657104. Its totient is φ = 9873484800.

The previous prime is 10001313281. The next prime is 10001313359. The reversal of 10001313331 is 13331310001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10001313331 - 2²³ = 9992924723 is a prime.

It is a super-2 number, since 2×10001313331² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001313731) 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 7 ways as a sum of consecutive naturals, for example, 89665 + ... + 167458.

It is an arithmetic number, because the mean of its divisors is an integer number (1266207138).

Almost surely, 2^10001313331 is an apocalyptic number.

10001313331 is a deficient number, since it is larger than the sum of its proper divisors (128343773).

10001313331 is an equidigital number, since it uses as much as digits as its factorization.

10001313331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257621.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10001313331 its reverse (13331310001), we get a palindrome (23332623332).

The spelling of 10001313331 in words is "ten billion, one million, three hundred thirteen thousand, three hundred thirty-one".