131311102332033 has 12 divisors (see below), whose sum is σ = 204261714738900. Its totient is φ = 80806832204256.

The previous prime is 131311102332013. The next prime is 131311102332043. The reversal of 131311102332033 is 330233201113131.

131311102332033 is a `hidden beast` number, since 1 + 3 + 1 + 311 + 1 + 0 + 23 + 320 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56243295199809 + 75067807132224 = 7499553^2 + 8664168^2 .

It is not a de Polignac number, because 131311102332033 - 2¹⁶ = 131311102266497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131311102331988 and 131311102332006.

It is not an unprimeable number, because it can be changed into a prime (131311102332013) 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, 561158556858 + ... + 561158557091.

It is an arithmetic number, because the mean of its divisors is an integer number (17021809561575).

Almost surely, 2^{131311102332033} is an apocalyptic number.

131311102332033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131311102332033 is a deficient number, since it is larger than the sum of its proper divisors (72950612406867).

131311102332033 is a wasteful number, since it uses less digits than its factorization.

131311102332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122317113968 (or 1122317113965 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131311102332033 its reverse (330233201113131), we get a palindrome (461544303445164).

The spelling of 131311102332033 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred two million, three hundred thirty-two thousand, thirty-three".