101313577 has 2 divisors, whose sum is σ = 101313578. Its totient is φ = 101313576.

The previous prime is 101313503. The next prime is 101313607. The reversal of 101313577 is 775313101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100580841 + 732736 = 10029^2 + 856^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101313577 is a prime.

It is a Chen prime.

It is equal to p_5832703 and since 101313577 and 5832703 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (101313677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50656788 + 50656789.

It is an arithmetic number, because the mean of its divisors is an integer number (50656789).

Almost surely, 2^101313577 is an apocalyptic number.

It is an amenable number.

101313577 is a deficient number, since it is larger than the sum of its proper divisors (1).

101313577 is an equidigital number, since it uses as much as digits as its factorization.

101313577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 101313577 is about 10065.4645695070. The cubic root of 101313577 is about 466.1824103065.

Adding to 101313577 its reverse (775313101), we get a palindrome (876626678).

The spelling of 101313577 in words is "one hundred one million, three hundred thirteen thousand, five hundred seventy-seven".