101011031122311 has 12 divisors (see below), whose sum is σ = 153584023928920. Its totient is φ = 63796440708720.

The previous prime is 101011031122259. The next prime is 101011031122319. The reversal of 101011031122311 is 113221130110101.

101011031122311 is a `hidden beast` number, since 1 + 0 + 10 + 1 + 10 + 311 + 22 + 311 = 666.

It is not a de Polignac number, because 101011031122311 - 2¹⁵ = 101011031089543 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011031122319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295353892000 + ... + 295353892341.

Almost surely, 2^{101011031122311} is an apocalyptic number.

101011031122311 is a deficient number, since it is larger than the sum of its proper divisors (52572992806609).

101011031122311 is a wasteful number, since it uses less digits than its factorization.

101011031122311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590707784366 (or 590707784363 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 101011031122311 its reverse (113221130110101), we get a palindrome (214232161232412).

The spelling of 101011031122311 in words is "one hundred one trillion, eleven billion, thirty-one million, one hundred twenty-two thousand, three hundred eleven".