131031031001033 has 12 divisors (see below), whose sum is σ = 136987594844100. Its totient is φ = 125323171439136.

The previous prime is 131031031001027. The next prime is 131031031001071. The reversal of 131031031001033 is 330100130130131.

It can be written as a sum of positive squares in 2 ways, for example, as 114751807299529 + 16279223701504 = 10712227^2 + 4034752^2 .

It is not a de Polignac number, because 131031031001033 - 2¹⁴ = 131031030984649 is a prime.

It is a super-2 number, since 2×131031031001033² (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 = 131031031000996 and 131031031001014.

It is not an unprimeable number, because it can be changed into a prime (131031031001933) 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, 4614266 + ... + 16833107.

It is an arithmetic number, because the mean of its divisors is an integer number (11415632903675).

Almost surely, 2^{131031031001033} is an apocalyptic number.

It is an amenable number.

131031031001033 is a deficient number, since it is larger than the sum of its proper divisors (5956563843067).

131031031001033 is a wasteful number, since it uses less digits than its factorization.

131031031001033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21458968 (or 21458945 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 131031031001033 its reverse (330100130130131), we get a palindrome (461131161131164).

The spelling of 131031031001033 in words is "one hundred thirty-one trillion, thirty-one billion, thirty-one million, one thousand, thirty-three".