1013003029 has 2 divisors, whose sum is σ = 1013003030. Its totient is φ = 1013003028.

The previous prime is 1013003023. The next prime is 1013003081. The reversal of 1013003029 is 9203003101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 937278225 + 75724804 = 30615^2 + 8702^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013003029 - 2⁵ = 1013002997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013002997 and 1013003015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013003023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506501514 + 506501515.

It is an arithmetic number, because the mean of its divisors is an integer number (506501515).

Almost surely, 2^1013003029 is an apocalyptic number.

It is an amenable number.

1013003029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013003029 is an equidigital number, since it uses as much as digits as its factorization.

1013003029 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 19.

The square root of 1013003029 is about 31827.7085100389. The cubic root of 1013003029 is about 1004.3156910175.

It can be divided in two parts, 101300 and 3029, that added together give a square (104329 = 323²).

The spelling of 1013003029 in words is "one billion, thirteen million, three thousand, twenty-nine".