101001413 has 8 divisors (see below), whose sum is σ = 102827736. Its totient is φ = 99187200.

The previous prime is 101001391. The next prime is 101001427. The reversal of 101001413 is 314100101.

It can be written as a sum of positive squares in 4 ways, for example, as 28376929 + 72624484 = 5327^2 + 8522^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101001413 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001394 and 101001403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14723 + ... + 20463.

It is an arithmetic number, because the mean of its divisors is an integer number (12853467).

Almost surely, 2^101001413 is an apocalyptic number.

It is an amenable number.

101001413 is a deficient number, since it is larger than the sum of its proper divisors (1826323).

101001413 is an equidigital number, since it uses as much as digits as its factorization.

101001413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6055.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 101001413 is about 10049.9459202525. The cubic root of 101001413 is about 465.7031225044.

Adding to 101001413 its reverse (314100101), we get a palindrome (415101514).

The spelling of 101001413 in words is "one hundred one million, one thousand, four hundred thirteen".