1313131010313 has 8 divisors (see below), whose sum is σ = 1754407217376. Its totient is φ = 873637738400.

The previous prime is 1313131010309. The next prime is 1313131010369. The reversal of 1313131010313 is 3130101313131.

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 1313131010313 - 2² = 1313131010309 is a prime.

It is a super-2 number, since 2×1313131010313² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1313131010313.

It is not an unprimeable number, because it can be changed into a prime (1313131017313) 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, 445732068 + ... + 445735013.

It is an arithmetic number, because the mean of its divisors is an integer number (219300902172).

Almost surely, 2^{1313131010313} is an apocalyptic number.

It is an amenable number.

1313131010313 is a deficient number, since it is larger than the sum of its proper divisors (441276207063).

1313131010313 is an equidigital number, since it uses as much as digits as its factorization.

1313131010313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891467575.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 1313131010313 its reverse (3130101313131), we get a palindrome (4443232323444).

The spelling of 1313131010313 in words is "one trillion, three hundred thirteen billion, one hundred thirty-one million, ten thousand, three hundred thirteen".