1031201302313 has 64 divisors (see below), whose sum is σ = 1397983104000. Its totient is φ = 753508546560.

The previous prime is 1031201302303. The next prime is 1031201302333. The reversal of 1031201302313 is 3132031021301.

It is not a de Polignac number, because 1031201302313 - 2¹⁰ = 1031201301289 is a prime.

It is a super-3 number, since 3×1031201302313³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1031201302303) 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 63 ways as a sum of consecutive naturals, for example, 2800793 + ... + 3147513.

It is an arithmetic number, because the mean of its divisors is an integer number (21843486000).

Almost surely, 2^{1031201302313} is an apocalyptic number.

1031201302313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1031201302313 is a deficient number, since it is larger than the sum of its proper divisors (366781801687).

1031201302313 is a wasteful number, since it uses less digits than its factorization.

1031201302313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346807 (or 346793 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1031201302313 its reverse (3132031021301), we get a palindrome (4163232323614).

The spelling of 1031201302313 in words is "one trillion, thirty-one billion, two hundred one million, three hundred two thousand, three hundred thirteen".