101331131031133 has 8 divisors (see below), whose sum is σ = 101735641103040. Its totient is φ = 100926627312000.

The previous prime is 101331131031077. The next prime is 101331131031211. The reversal of 101331131031133 is 331130131133101.

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 101331131031133 - 2¹⁷ = 101331130900061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101331131031098 and 101331131031107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331101031133) 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, 31772653 + ... + 34816141.

It is an arithmetic number, because the mean of its divisors is an integer number (12716955137880).

Almost surely, 2^{101331131031133} is an apocalyptic number.

It is an amenable number.

101331131031133 is a deficient number, since it is larger than the sum of its proper divisors (404510071907).

101331131031133 is a wasteful number, since it uses less digits than its factorization.

101331131031133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176387.

The product of its (nonzero) digits is 729, while the sum is 25.

Adding to 101331131031133 its reverse (331130131133101), we get a palindrome (432461262164234).

The spelling of 101331131031133 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred thirty-one million, thirty-one thousand, one hundred thirty-three".