1032313013 has 2 divisors, whose sum is σ = 1032313014. Its totient is φ = 1032313012.

The previous prime is 1032313001. The next prime is 1032313031. The reversal of 1032313013 is 3103132301.

Together with next prime (1032313031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1020355249 + 11957764 = 31943^2 + 3458^2 .

It is a cyclic number.

It is not a de Polignac number, because 1032313013 - 2¹⁶ = 1032247477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1032312982 and 1032313000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1032313043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516156506 + 516156507.

It is an arithmetic number, because the mean of its divisors is an integer number (516156507).

Almost surely, 2^1032313013 is an apocalyptic number.

It is an amenable number.

1032313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1032313013 is an equidigital number, since it uses as much as digits as its factorization.

1032313013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1032313013 is about 32129.6282736044. The cubic root of 1032313013 is about 1010.6570286266.

Adding to 1032313013 its reverse (3103132301), we get a palindrome (4135445314).

The spelling of 1032313013 in words is "one billion, thirty-two million, three hundred thirteen thousand, thirteen".