101334140224213 has 32 divisors (see below), whose sum is σ = 113495333114240. Its totient is φ = 89874538951680.

The previous prime is 101334140224211. The next prime is 101334140224217. The reversal of 101334140224213 is 312422041433101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101334140224213 - 2¹ = 101334140224211 is a prime.

It is a super-2 number, since 2×101334140224213² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101334140224211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12189793 + ... + 18741913.

It is an arithmetic number, because the mean of its divisors is an integer number (3546729159820).

Almost surely, 2^{101334140224213} is an apocalyptic number.

101334140224213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101334140224213 is a deficient number, since it is larger than the sum of its proper divisors (12161192890027).

101334140224213 is a wasteful number, since it uses less digits than its factorization.

101334140224213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6552629.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 101334140224213 its reverse (312422041433101), we get a palindrome (413756181657314).

The spelling of 101334140224213 in words is "one hundred one trillion, three hundred thirty-four billion, one hundred forty million, two hundred twenty-four thousand, two hundred thirteen".