101313313101 has 96 divisors (see below), whose sum is σ = 208044764928. Its totient is φ = 45723985920.

The previous prime is 101313313099. The next prime is 101313313117.

101313313101 is a `hidden beast` number, since 10 + 1 + 313 + 31 + 310 + 1 = 666.

101313313101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101313313101 - 2¹ = 101313313099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313313151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177606 + ... + 483911.

It is an arithmetic number, because the mean of its divisors is an integer number (2167132968).

Almost surely, 2^101313313101 is an apocalyptic number.

101313313101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101313313101 is an abundant number, since it is smaller than the sum of its proper divisors (106731451827).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101313313101 is a wasteful number, since it uses less digits than its factorization.

101313313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661571 (or 661568 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 101313 and 313101, that added together give a palindrome (414414).

The spelling of 101313313101 in words is "one hundred one billion, three hundred thirteen million, three hundred thirteen thousand, one hundred one".