1034100313 has 2 divisors, whose sum is σ = 1034100314. Its totient is φ = 1034100312.

The previous prime is 1034100307. The next prime is 1034100329. The reversal of 1034100313 is 3130014301.

It is an a-pointer prime, because the next prime (1034100329) can be obtained adding 1034100313 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 799305984 + 234794329 = 28272^2 + 15323^2 .

It is a cyclic number.

It is not a de Polignac number, because 1034100313 - 2⁵ = 1034100281 is a prime.

It is not a weakly prime, because it can be changed into another prime (1034130313) 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, 517050156 + 517050157.

It is an arithmetic number, because the mean of its divisors is an integer number (517050157).

Almost surely, 2^1034100313 is an apocalyptic number.

It is an amenable number.

1034100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1034100313 is an equidigital number, since it uses as much as digits as its factorization.

1034100313 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 1034100313 is about 32157.4301367507. The cubic root of 1034100313 is about 1011.2399609382.

Adding to 1034100313 its reverse (3130014301), we get a palindrome (4164114614).

The spelling of 1034100313 in words is "one billion, thirty-four million, one hundred thousand, three hundred thirteen".