101013613 has 2 divisors, whose sum is σ = 101013614. Its totient is φ = 101013612.

The previous prime is 101013607. The next prime is 101013629. The reversal of 101013613 is 316310101.

It is an a-pointer prime, because the next prime (101013629) can be obtained adding 101013613 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., 73324969 + 27688644 = 8563^2 + 5262^2 .

It is a cyclic number.

It is not a de Polignac number, because 101013613 - 2⁵ = 101013581 is a prime.

It is a super-2 number, since 2×101013613² = 20407500022627538, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101013683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506806 + 50506807.

It is an arithmetic number, because the mean of its divisors is an integer number (50506807).

Almost surely, 2^101013613 is an apocalyptic number.

It is an amenable number.

101013613 is a deficient number, since it is larger than the sum of its proper divisors (1).

101013613 is an equidigital number, since it uses as much as digits as its factorization.

101013613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 101013613 is about 10050.5528703649. The cubic root of 101013613 is about 465.7218725700.

Adding to 101013613 its reverse (316310101), we get a palindrome (417323714).

The spelling of 101013613 in words is "one hundred one million, thirteen thousand, six hundred thirteen".