5013513101 has 2 divisors, whose sum is σ = 5013513102. Its totient is φ = 5013513100.

The previous prime is 5013513091. The next prime is 5013513103. The reversal of 5013513101 is 1013153105.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3572931076 + 1440582025 = 59774^2 + 37955^2 .

It is a cyclic number.

It is not a de Polignac number, because 5013513101 - 2¹⁴ = 5013496717 is a prime.

It is a super-2 number, since 2×5013513101² = 50270627227797272402, which contains 22 as substring.

Together with 5013513103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5013513103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2506756550 + 2506756551.

It is an arithmetic number, because the mean of its divisors is an integer number (2506756551).

Almost surely, 2^5013513101 is an apocalyptic number.

It is an amenable number.

5013513101 is a deficient number, since it is larger than the sum of its proper divisors (1).

5013513101 is an equidigital number, since it uses as much as digits as its factorization.

5013513101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 5013513101 is about 70806.1656990406. The cubic root of 5013513101 is about 1711.5150328315.

Adding to 5013513101 its reverse (1013153105), we get a palindrome (6026666206).

It can be divided in two parts, 50135 and 13101, that added together give a palindrome (63236).

The spelling of 5013513101 in words is "five billion, thirteen million, five hundred thirteen thousand, one hundred one".