101000413 has 2 divisors, whose sum is σ = 101000414. Its totient is φ = 101000412.

The previous prime is 101000407. The next prime is 101000443. The reversal of 101000413 is 314000101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100540729 + 459684 = 10027^2 + 678^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000413 - 2⁹ = 100999901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500206 + 50500207.

It is an arithmetic number, because the mean of its divisors is an integer number (50500207).

Almost surely, 2^101000413 is an apocalyptic number.

It is an amenable number.

101000413 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000413 is an equidigital number, since it uses as much as digits as its factorization.

101000413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101000413 is about 10049.8961686179. The cubic root of 101000413 is about 465.7015855468.

Adding to 101000413 its reverse (314000101), we get a palindrome (415000514).

The spelling of 101000413 in words is "one hundred one million, four hundred thirteen", and thus it is an aban number.