1031031001313 has 8 divisors (see below), whose sum is σ = 1056218735880. Its totient is φ = 1005845201920.

The previous prime is 1031031001309. The next prime is 1031031001333. The reversal of 1031031001313 is 3131001301301.

It can be written as a sum of positive squares in 4 ways, for example, as 56954777104 + 974076224209 = 238652^2 + 986953^2 .

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 1031031001313 - 2² = 1031031001309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1031031001291 and 1031031001300.

It is not an unprimeable number, because it can be changed into a prime (1031031001333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 625481 + ... + 1566297.

It is an arithmetic number, because the mean of its divisors is an integer number (132027341985).

Almost surely, 2^{1031031001313} is an apocalyptic number.

It is an amenable number.

1031031001313 is a deficient number, since it is larger than the sum of its proper divisors (25187734567).

1031031001313 is an equidigital number, since it uses as much as digits as its factorization.

1031031001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967587.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 1031031001313 its reverse (3131001301301), we get a palindrome (4162032302614).

The spelling of 1031031001313 in words is "one trillion, thirty-one billion, thirty-one million, one thousand, three hundred thirteen".