101331001321133 has 4 divisors (see below), whose sum is σ = 101331266537628. Its totient is φ = 101330736104640.

The previous prime is 101331001321127. The next prime is 101331001321139. The reversal of 101331001321133 is 331123100133101.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (101331001321127) and next prime (101331001321139).

It can be written as a sum of positive squares in 2 ways, for example, as 94951830728329 + 6379170592804 = 9744323^2 + 2525702^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331001321133 - 2¹⁴ = 101331001304749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101331001321099 and 101331001321108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331001321139) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132034316 + ... + 132799557.

It is an arithmetic number, because the mean of its divisors is an integer number (25332816634407).

Almost surely, 2^{101331001321133} is an apocalyptic number.

It is an amenable number.

101331001321133 is a deficient number, since it is larger than the sum of its proper divisors (265216495).

101331001321133 is an equidigital number, since it uses as much as digits as its factorization.

101331001321133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265216494.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 101331001321133 its reverse (331123100133101), we get a palindrome (432454101454234).

The spelling of 101331001321133 in words is "one hundred one trillion, three hundred thirty-one billion, one million, three hundred twenty-one thousand, one hundred thirty-three".