101311031014011 has 24 divisors (see below), whose sum is σ = 180108499581920. Its totient is φ = 53438785589376.

The previous prime is 101311031013991. The next prime is 101311031014051. The reversal of 101311031014011 is 110410130113101.

101311031014011 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 0 + 310 + 1 + 40 + 1 + 1 = 666.

It is not a de Polignac number, because 101311031014011 - 2²⁶ = 101310963905147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101311031014051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61850445466 + ... + 61850447103.

Almost surely, 2^{101311031014011} is an apocalyptic number.

101311031014011 is a deficient number, since it is larger than the sum of its proper divisors (78797468567909).

101311031014011 is a wasteful number, since it uses less digits than its factorization.

101311031014011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123700892595 (or 123700892592 counting only the distinct ones).

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

Adding to 101311031014011 its reverse (110410130113101), we get a palindrome (211721161127112).

The spelling of 101311031014011 in words is "one hundred one trillion, three hundred eleven billion, thirty-one million, fourteen thousand, eleven".