131031034000041 has 32 divisors (see below), whose sum is σ = 202074101526528. Its totient is φ = 73971984228480.

The previous prime is 131031033999977. The next prime is 131031034000081. The reversal of 131031034000041 is 140000430130131.

It is not a de Polignac number, because 131031034000041 - 2⁶ = 131031033999977 is a prime.

It is a super-2 number, since 2×131031034000041² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 131031033999981 and 131031034000017.

It is not an unprimeable number, because it can be changed into a prime (131031034000081) 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 31 ways as a sum of consecutive naturals, for example, 189811536 + ... + 190500606.

It is an arithmetic number, because the mean of its divisors is an integer number (6314815672704).

Almost surely, 2^{131031034000041} is an apocalyptic number.

It is an amenable number.

131031034000041 is a deficient number, since it is larger than the sum of its proper divisors (71043067526487).

131031034000041 is a wasteful number, since it uses less digits than its factorization.

131031034000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798261.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131031034000041 its reverse (140000430130131), we get a palindrome (271031464130172).

The spelling of 131031034000041 in words is "one hundred thirty-one trillion, thirty-one billion, thirty-four million, forty-one", and thus it is an aban number.