101842310013 has 16 divisors (see below), whose sum is σ = 136334100096. Its totient is φ = 67622892480.

The previous prime is 101842309999. The next prime is 101842310041. The reversal of 101842310013 is 310013248101.

It is not a de Polignac number, because 101842310013 - 2¹⁶ = 101842244477 is a prime.

It is a super-2 number, since 2×101842310013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101842350013) 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, 2189943 + ... + 2235963.

It is an arithmetic number, because the mean of its divisors is an integer number (8520881256).

Almost surely, 2^101842310013 is an apocalyptic number.

It is an amenable number.

101842310013 is a deficient number, since it is larger than the sum of its proper divisors (34491790083).

101842310013 is a wasteful number, since it uses less digits than its factorization.

101842310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48964.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 101842310013 its reverse (310013248101), we get a palindrome (411855558114).

The spelling of 101842310013 in words is "one hundred one billion, eight hundred forty-two million, three hundred ten thousand, thirteen".