101181013 has 2 divisors, whose sum is σ = 101181014. Its totient is φ = 101181012.

The previous prime is 101181007. The next prime is 101181037. The reversal of 101181013 is 310181101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99560484 + 1620529 = 9978^2 + 1273^2 .

It is a cyclic number.

It is not a de Polignac number, because 101181013 - 2⁹ = 101180501 is a prime.

It is a super-3 number, since 3×101181013³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101181043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50590506 + 50590507.

It is an arithmetic number, because the mean of its divisors is an integer number (50590507).

Almost surely, 2^101181013 is an apocalyptic number.

It is an amenable number.

101181013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101181013 is an equidigital number, since it uses as much as digits as its factorization.

101181013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 16.

The square root of 101181013 is about 10058.8773230416. The cubic root of 101181013 is about 465.9789957193.

The spelling of 101181013 in words is "one hundred one million, one hundred eighty-one thousand, thirteen".