58013101 has 2 divisors, whose sum is σ = 58013102. Its totient is φ = 58013100.

The previous prime is 58013093. The next prime is 58013117. The reversal of 58013101 is 10131085.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41602500 + 16410601 = 6450^2 + 4051^2 .

It is a cyclic number.

It is not a de Polignac number, because 58013101 - 2³ = 58013093 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58013141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29006550 + 29006551.

It is an arithmetic number, because the mean of its divisors is an integer number (29006551).

Almost surely, 2^58013101 is an apocalyptic number.

It is an amenable number.

58013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

58013101 is an equidigital number, since it uses as much as digits as its factorization.

58013101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 58013101 is about 7616.6331800869. The cubic root of 58013101 is about 387.1168069002.

Adding to 58013101 its reverse (10131085), we get a palindrome (68144186).

The spelling of 58013101 in words is "fifty-eight million, thirteen thousand, one hundred one".