10031321313331 has 8 divisors (see below), whose sum is σ = 10559405750720. Its totient is φ = 9503248891752.

The previous prime is 10031321313311. The next prime is 10031321313373. The reversal of 10031321313331 is 13331312313001.

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 10031321313331 - 2⁷ = 10031321313203 is a prime.

It is a super-2 number, since 2×10031321313331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10031321313296 and 10031321313305.

It is not an unprimeable number, because it can be changed into a prime (10031321313311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1264485 + ... + 4654198.

It is an arithmetic number, because the mean of its divisors is an integer number (1319925718840).

Almost surely, 2^{10031321313331} is an apocalyptic number.

10031321313331 is a deficient number, since it is larger than the sum of its proper divisors (528084437389).

10031321313331 is an equidigital number, since it uses as much as digits as its factorization.

10031321313331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6007905.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 10031321313331 its reverse (13331312313001), we get a palindrome (23362633626332).

The spelling of 10031321313331 in words is "ten trillion, thirty-one billion, three hundred twenty-one million, three hundred thirteen thousand, three hundred thirty-one".