1032513113 has 2 divisors, whose sum is σ = 1032513114. Its totient is φ = 1032513112.

The previous prime is 1032513103. The next prime is 1032513133. The reversal of 1032513113 is 3113152301.

It is an a-pointer prime, because the next prime (1032513133) can be obtained adding 1032513113 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 710382409 + 322130704 = 26653^2 + 17948^2 .

It is a cyclic number.

It is not a de Polignac number, because 1032513113 - 2²⁰ = 1031464537 is a prime.

It is a super-3 number, since 3×1032513113³ (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1032513103) 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 as a sum of consecutive naturals, namely, 516256556 + 516256557.

It is an arithmetic number, because the mean of its divisors is an integer number (516256557).

Almost surely, 2^1032513113 is an apocalyptic number.

It is an amenable number.

1032513113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1032513113 is an equidigital number, since it uses as much as digits as its factorization.

1032513113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 1032513113 is about 32132.7420709780. The cubic root of 1032513113 is about 1010.7223251673.

Adding to 1032513113 its reverse (3113152301), we get a palindrome (4145665414).

The spelling of 1032513113 in words is "one billion, thirty-two million, five hundred thirteen thousand, one hundred thirteen".