101401713 has 56 divisors (see below), whose sum is σ = 179636736. Its totient is φ = 55987200.

The previous prime is 101401691. The next prime is 101401717. The reversal of 101401713 is 317104101.

It is not a de Polignac number, because 101401713 - 2⁶ = 101401649 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101401717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 157873 + ... + 158513.

Almost surely, 2^101401713 is an apocalyptic number.

It is an amenable number.

101401713 is a deficient number, since it is larger than the sum of its proper divisors (78235023).

101401713 is an frugal number, since it uses more digits than its factorization.

101401713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 101401713 is about 10069.8417564528. The cubic root of 101401713 is about 466.3175535763.

Adding to 101401713 its reverse (317104101), we get a palindrome (418505814).

The spelling of 101401713 in words is "one hundred one million, four hundred one thousand, seven hundred thirteen".