1010334013 has 16 divisors (see below), whose sum is σ = 1121134896. Its totient is φ = 904527360.

The previous prime is 1010334001. The next prime is 1010334019. The reversal of 1010334013 is 3104330101.

It can be written as a sum of positive squares in 8 ways, for example, as 30769209 + 979564804 = 5547^2 + 31298^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010334013 - 2⁵ = 1010333981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010334019) 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 in 15 ways as a sum of consecutive naturals, for example, 86731 + ... + 97687.

It is an arithmetic number, because the mean of its divisors is an integer number (70070931).

Almost surely, 2^1010334013 is an apocalyptic number.

1010334013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1010334013 is a deficient number, since it is larger than the sum of its proper divisors (110800883).

1010334013 is a wasteful number, since it uses less digits than its factorization.

1010334013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11184.

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

The square root of 1010334013 is about 31785.7517293519. The cubic root of 1010334013 is about 1003.4328728986.

Adding to 1010334013 its reverse (3104330101), we get a palindrome (4114664114).

The spelling of 1010334013 in words is "one billion, ten million, three hundred thirty-four thousand, thirteen".