131321221302033 has 48 divisors (see below), whose sum is σ = 229674280882176. Its totient is φ = 70584068874240.

The previous prime is 131321221302031. The next prime is 131321221302049. The reversal of 131321221302033 is 330203122123131.

131321221302033 is a `hidden beast` number, since 1 + 3 + 1 + 321 + 2 + 2 + 1 + 302 + 0 + 33 = 666.

It is not a de Polignac number, because 131321221302033 - 2¹ = 131321221302031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131321221301988 and 131321221302006.

It is not an unprimeable number, because it can be changed into a prime (131321221302031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35084688 + ... + 38646833.

It is an arithmetic number, because the mean of its divisors is an integer number (4784880851712).

Almost surely, 2^{131321221302033} is an apocalyptic number.

It is an amenable number.

131321221302033 is a deficient number, since it is larger than the sum of its proper divisors (98353059580143).

131321221302033 is a wasteful number, since it uses less digits than its factorization.

131321221302033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73733214 (or 73733211 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131321221302033 its reverse (330203122123131), we get a palindrome (461524343425164).

The spelling of 131321221302033 in words is "one hundred thirty-one trillion, three hundred twenty-one billion, two hundred twenty-one million, three hundred two thousand, thirty-three".