101534412314113 has 8 divisors (see below), whose sum is σ = 107139389644800. Its totient is φ = 96028638122208.

The previous prime is 101534412314087. The next prime is 101534412314149. The reversal of 101534412314113 is 311413214435101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101534412314113 - 2¹⁷ = 101534412183041 is a prime.

It is a super-2 number, since 2×101534412314113² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101534412314813) 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 7 ways as a sum of consecutive naturals, for example, 24800782593 + ... + 24800786686.

It is an arithmetic number, because the mean of its divisors is an integer number (13392423705600).

Almost surely, 2^{101534412314113} is an apocalyptic number.

It is an amenable number.

101534412314113 is a deficient number, since it is larger than the sum of its proper divisors (5604977330687).

101534412314113 is an equidigital number, since it uses as much as digits as its factorization.

101534412314113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49601569391.

The product of its (nonzero) digits is 17280, while the sum is 34.

Adding to 101534412314113 its reverse (311413214435101), we get a palindrome (412947626749214).

The spelling of 101534412314113 in words is "one hundred one trillion, five hundred thirty-four billion, four hundred twelve million, three hundred fourteen thousand, one hundred thirteen".