1032131322313 has 48 divisors (see below), whose sum is σ = 1315149454080. Its totient is φ = 802733428224.

The previous prime is 1032131322307. The next prime is 1032131322319. The reversal of 1032131322313 is 3132231312301.

It is an interprime number because it is at equal distance from previous prime (1032131322307) and next prime (1032131322319).

It is not a de Polignac number, because 1032131322313 - 2¹⁷ = 1032131191241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1032131322319) 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 47 ways as a sum of consecutive naturals, for example, 11378145 + ... + 11468497.

It is an arithmetic number, because the mean of its divisors is an integer number (27398946960).

Almost surely, 2^{1032131322313} is an apocalyptic number.

1032131322313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1032131322313 is a deficient number, since it is larger than the sum of its proper divisors (283018131767).

1032131322313 is a wasteful number, since it uses less digits than its factorization.

1032131322313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90686 (or 90679 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1032131322313 its reverse (3132231312301), we get a palindrome (4164362634614).

The spelling of 1032131322313 in words is "one trillion, thirty-two billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred thirteen".