1032313113 has 32 divisors (see below), whose sum is σ = 1700142080. Its totient is φ = 614770560.

The previous prime is 1032313103. The next prime is 1032313127. The reversal of 1032313113 is 3113132301.

It is a happy number.

It is not a de Polignac number, because 1032313113 - 2⁸ = 1032312857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1032313103) 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 31 ways as a sum of consecutive naturals, for example, 36556 + ... + 58317.

It is an arithmetic number, because the mean of its divisors is an integer number (53129440).

Almost surely, 2^1032313113 is an apocalyptic number.

1032313113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1032313113 is a deficient number, since it is larger than the sum of its proper divisors (667828967).

1032313113 is a wasteful number, since it uses less digits than its factorization.

1032313113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94926 (or 94920 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1032313113 is about 32129.6298298004. The cubic root of 1032313113 is about 1010.6570612606.

Adding to 1032313113 its reverse (3113132301), we get a palindrome (4145445414).

It can be divided in two parts, 10323 and 13113, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 1032313113 in words is "one billion, thirty-two million, three hundred thirteen thousand, one hundred thirteen".