101331010312011 has 6 divisors (see below), whose sum is σ = 146367014895140. Its totient is φ = 67554006874668.

The previous prime is 101331010312001. The next prime is 101331010312019. The reversal of 101331010312011 is 110213010133101.

101331010312011 is a `hidden beast` number, since 1 + 0 + 1 + 331 + 0 + 10 + 312 + 0 + 11 = 666.

It is not a de Polignac number, because 101331010312011 - 2²² = 101331006117707 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101331010312019) 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 5 ways as a sum of consecutive naturals, for example, 5629500572881 + ... + 5629500572898.

Almost surely, 2^{101331010312011} is an apocalyptic number.

101331010312011 is a deficient number, since it is larger than the sum of its proper divisors (45036004583129).

101331010312011 is a wasteful number, since it uses less digits than its factorization.

101331010312011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11259001145785 (or 11259001145782 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101331010312011 its reverse (110213010133101), we get a palindrome (211544020445112).

The spelling of 101331010312011 in words is "one hundred one trillion, three hundred thirty-one billion, ten million, three hundred twelve thousand, eleven".