131000300101 has 16 divisors (see below), whose sum is σ = 146457178560. Its totient is φ = 116143211520.

The previous prime is 131000300059. The next prime is 131000300143. The reversal of 131000300101 is 101003000131.

It is an interprime number because it is at equal distance from previous prime (131000300059) and next prime (131000300143).

It is a cyclic number.

It is not a de Polignac number, because 131000300101 - 2⁹ = 131000299589 is a prime.

It is a super-2 number, since 2×131000300101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131000300191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96805 + ... + 520933.

It is an arithmetic number, because the mean of its divisors is an integer number (9153573660).

Almost surely, 2^131000300101 is an apocalyptic number.

131000300101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131000300101 is a deficient number, since it is larger than the sum of its proper divisors (15456878459).

131000300101 is a wasteful number, since it uses less digits than its factorization.

131000300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424836.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 131000300101 its reverse (101003000131), we get a palindrome (232003300232).

The spelling of 131000300101 in words is "one hundred thirty-one billion, three hundred thousand, one hundred one".