101957713 has 16 divisors (see below), whose sum is σ = 121435776. Its totient is φ = 84378240.

The previous prime is 101957699. The next prime is 101957749. The reversal of 101957713 is 317759101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101957713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101957113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5556 + ... + 15322.

It is an arithmetic number, because the mean of its divisors is an integer number (7589736).

Almost surely, 2^101957713 is an apocalyptic number.

101957713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101957713 is a deficient number, since it is larger than the sum of its proper divisors (19478063).

101957713 is a wasteful number, since it uses less digits than its factorization.

101957713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9864.

The product of its (nonzero) digits is 6615, while the sum is 34.

The square root of 101957713 is about 10097.4112028777. The cubic root of 101957713 is about 467.1682956868.

The spelling of 101957713 in words is "one hundred one million, nine hundred fifty-seven thousand, seven hundred thirteen".