107013013 has 2 divisors, whose sum is σ = 107013014. Its totient is φ = 107013012.

The previous prime is 107012999. The next prime is 107013037. The reversal of 107013013 is 310310701.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86155524 + 20857489 = 9282^2 + 4567^2 .

It is a cyclic number.

It is not a de Polignac number, because 107013013 - 2²¹ = 104915861 is a prime.

It is a super-2 number, since 2×107013013² = 22903569902676338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107019013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53506506 + 53506507.

It is an arithmetic number, because the mean of its divisors is an integer number (53506507).

Almost surely, 2^107013013 is an apocalyptic number.

It is an amenable number.

107013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

107013013 is an equidigital number, since it uses as much as digits as its factorization.

107013013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 107013013 is about 10344.7094207619. The cubic root of 107013013 is about 474.7651847697.

Adding to 107013013 its reverse (310310701), we get a palindrome (417323714).

The spelling of 107013013 in words is "one hundred seven million, thirteen thousand, thirteen".