131100101220031 has 16 divisors (see below), whose sum is σ = 134570300578560. Its totient is φ = 127643131120320.

The previous prime is 131100101220013. The next prime is 131100101220131. The reversal of 131100101220031 is 130022101001131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131100101220031 - 2¹¹ = 131100101217983 is a prime.

It is a super-2 number, since 2×131100101220031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131100101219987 and 131100101220014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131100101220131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41020000 + ... + 44100346.

It is an arithmetic number, because the mean of its divisors is an integer number (8410643786160).

Almost surely, 2^{131100101220031} is an apocalyptic number.

131100101220031 is a deficient number, since it is larger than the sum of its proper divisors (3470199358529).

131100101220031 is a wasteful number, since it uses less digits than its factorization.

131100101220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082494.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 131100101220031 its reverse (130022101001131), we get a palindrome (261122202221162).

The spelling of 131100101220031 in words is "one hundred thirty-one trillion, one hundred billion, one hundred one million, two hundred twenty thousand, thirty-one".