101835771313 has 16 divisors (see below), whose sum is σ = 112528797696. Its totient is φ = 91666347520.

The previous prime is 101835771307. The next prime is 101835771319. The reversal of 101835771313 is 313177538101.

It is an interprime number because it is at equal distance from previous prime (101835771307) and next prime (101835771319).

It is a cyclic number.

It is not a de Polignac number, because 101835771313 - 2⁵ = 101835771281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101835771319) 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, 4643133 + ... + 4665013.

It is an arithmetic number, because the mean of its divisors is an integer number (7033049856).

Almost surely, 2^101835771313 is an apocalyptic number.

It is an amenable number.

101835771313 is a deficient number, since it is larger than the sum of its proper divisors (10693026383).

101835771313 is a wasteful number, since it uses less digits than its factorization.

101835771313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33824.

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 101835771313 in words is "one hundred one billion, eight hundred thirty-five million, seven hundred seventy-one thousand, three hundred thirteen".