131011021131021 has 12 divisors (see below), whose sum is σ = 189240381998460. Its totient is φ = 87339646739520.

The previous prime is 131011021130999. The next prime is 131011021131059. The reversal of 131011021131021 is 120131120110131.

131011021131021 is a `hidden beast` number, since 1 + 3 + 10 + 110 + 211 + 310 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109480353917796 + 21530667213225 = 10463286^2 + 4640115^2 .

It is not a de Polignac number, because 131011021131021 - 2¹⁷ = 131011020999949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131011021130985 and 131011021131003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011021131061) 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, 85365040 + ... + 86886201.

It is an arithmetic number, because the mean of its divisors is an integer number (15770031833205).

Almost surely, 2^{131011021131021} is an apocalyptic number.

It is an amenable number.

131011021131021 is a deficient number, since it is larger than the sum of its proper divisors (58229360867439).

131011021131021 is a wasteful number, since it uses less digits than its factorization.

131011021131021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172335756 (or 172335753 counting only the distinct ones).

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

Adding to 131011021131021 its reverse (120131120110131), we get a palindrome (251142141241152).

The spelling of 131011021131021 in words is "one hundred thirty-one trillion, eleven billion, twenty-one million, one hundred thirty-one thousand, twenty-one".