101331012123013 has 8 divisors (see below), whose sum is σ = 101340581105088. Its totient is φ = 101321443554144.

The previous prime is 101331012122981. The next prime is 101331012123043. The reversal of 101331012123013 is 310321210133101.

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 101331012123013 - 2⁵ = 101331012122981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331012123043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 695389920 + ... + 695535622.

It is an arithmetic number, because the mean of its divisors is an integer number (12667572638136).

Almost surely, 2^{101331012123013} is an apocalyptic number.

It is an amenable number.

101331012123013 is a deficient number, since it is larger than the sum of its proper divisors (9568982075).

101331012123013 is a wasteful number, since it uses less digits than its factorization.

101331012123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206603.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 101331012123013 its reverse (310321210133101), we get a palindrome (411652222256114).

The spelling of 101331012123013 in words is "one hundred one trillion, three hundred thirty-one billion, twelve million, one hundred twenty-three thousand, thirteen".