101331302302013 has 8 divisors (see below), whose sum is σ = 115810395224832. Its totient is φ = 86853007527696.

The previous prime is 101331302302001. The next prime is 101331302302019. The reversal of 101331302302013 is 310203203133101.

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 101331302302013 - 2²⁴ = 101331285524797 is a prime.

It is a super-2 number, since 2×101331302302013² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101331302302013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331302302019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199265045 + ... + 199772922.

It is an arithmetic number, because the mean of its divisors is an integer number (14476299403104).

Almost surely, 2^{101331302302013} is an apocalyptic number.

It is an amenable number.

101331302302013 is a deficient number, since it is larger than the sum of its proper divisors (14479092922819).

101331302302013 is an equidigital number, since it uses as much as digits as its factorization.

101331302302013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399074251.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 101331302302013 its reverse (310203203133101), we get a palindrome (411534505435114).

The spelling of 101331302302013 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred two million, three hundred two thousand, thirteen".