1032123013 has 2 divisors, whose sum is σ = 1032123014. Its totient is φ = 1032123012.

The previous prime is 1032122977. The next prime is 1032123019. The reversal of 1032123013 is 3103212301.

1032123013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 962116324 + 70006689 = 31018^2 + 8367^2 .

It is a cyclic number.

It is not a de Polignac number, because 1032123013 - 2²⁹ = 495252101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1032123019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516061506 + 516061507.

It is an arithmetic number, because the mean of its divisors is an integer number (516061507).

Almost surely, 2^1032123013 is an apocalyptic number.

It is an amenable number.

1032123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1032123013 is an equidigital number, since it uses as much as digits as its factorization.

1032123013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1032123013 is about 32126.6713650823. The cubic root of 1032123013 is about 1010.5950201030.

Adding to 1032123013 its reverse (3103212301), we get a palindrome (4135335314).

It can be divided in two parts, 103212301 and 3, that multiplied together give a palindrome (309636903).

The spelling of 1032123013 in words is "one billion, thirty-two million, one hundred twenty-three thousand, thirteen".