101835822172513 has 32 divisors (see below), whose sum is σ = 122657048841600. Its totient is φ = 83304482419200.

The previous prime is 101835822172499. The next prime is 101835822172573. The reversal of 101835822172513 is 315271228538101.

It is a cyclic number.

It is not a de Polignac number, because 101835822172513 - 2⁵ = 101835822172481 is a prime.

It is a super-2 number, since 2×101835822172513² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101835822172573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139218 + ... + 14272036.

It is an arithmetic number, because the mean of its divisors is an integer number (3833032776300).

Almost surely, 2^{101835822172513} is an apocalyptic number.

101835822172513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101835822172513 is a deficient number, since it is larger than the sum of its proper divisors (20821226669087).

101835822172513 is a wasteful number, since it uses less digits than its factorization.

101835822172513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14134113.

The product of its (nonzero) digits is 806400, while the sum is 49.

The spelling of 101835822172513 in words is "one hundred one trillion, eight hundred thirty-five billion, eight hundred twenty-two million, one hundred seventy-two thousand, five hundred thirteen".