1032310011013 has 12 divisors (see below), whose sum is σ = 1036287797740. Its totient is φ = 1028341200960.

The previous prime is 1032310011001. The next prime is 1032310011041. The reversal of 1032310011013 is 3101100132301.

It can be written as a sum of positive squares in 2 ways, for example, as 433408922244 + 598901088769 = 658338^2 + 773887^2 .

It is not a de Polignac number, because 1032310011013 - 2¹⁷ = 1032309879941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032310011043) 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 11 ways as a sum of consecutive naturals, for example, 385620631 + ... + 385623307.

Almost surely, 2^{1032310011013} is an apocalyptic number.

It is an amenable number.

1032310011013 is a deficient number, since it is larger than the sum of its proper divisors (3977786727).

1032310011013 is an frugal number, since it uses more digits than its factorization.

1032310011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1032310011013 its reverse (3101100132301), we get a palindrome (4133410143314).

The spelling of 1032310011013 in words is "one trillion, thirty-two billion, three hundred ten million, eleven thousand, thirteen".