101101033311131 has 8 divisors (see below), whose sum is σ = 115663525190400. Its totient is φ = 86568413212008.

The previous prime is 101101033311121. The next prime is 101101033311203. The reversal of 101101033311131 is 131113330101101.

It is a happy number.

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

It is not a de Polignac number, because 101101033311131 - 2⁶ = 101101033311067 is a prime.

It is a super-2 number, since 2×101101033311131² (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 (101101033311121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7467937781 + ... + 7467951318.

It is an arithmetic number, because the mean of its divisors is an integer number (14457940648800).

Almost surely, 2^{101101033311131} is an apocalyptic number.

101101033311131 is a deficient number, since it is larger than the sum of its proper divisors (14562491879269).

101101033311131 is an equidigital number, since it uses as much as digits as its factorization.

101101033311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14935890073.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 101101033311131 its reverse (131113330101101), we get a palindrome (232214363412232).

The spelling of 101101033311131 in words is "one hundred one trillion, one hundred one billion, thirty-three million, three hundred eleven thousand, one hundred thirty-one".