132313131120033 has 64 divisors (see below), whose sum is σ = 206657894741760. Its totient is φ = 83570110041600.

The previous prime is 132313131120013. The next prime is 132313131120073. The reversal of 132313131120033 is 330021131313231.

132313131120033 is a `hidden beast` number, since 1 + 3 + 2 + 313 + 1 + 311 + 2 + 0 + 0 + 33 = 666.

It is not a de Polignac number, because 132313131120033 - 2⁴⁵ = 97128759031201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132313131119979 and 132313131120006.

It is not an unprimeable number, because it can be changed into a prime (132313131120013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201363 + ... + 16268583.

It is an arithmetic number, because the mean of its divisors is an integer number (3229029605340).

Almost surely, 2^{132313131120033} is an apocalyptic number.

It is an amenable number.

132313131120033 is a deficient number, since it is larger than the sum of its proper divisors (74344763621727).

132313131120033 is a wasteful number, since it uses less digits than its factorization.

132313131120033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16067487 (or 16067481 counting only the distinct ones).

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

Adding to 132313131120033 its reverse (330021131313231), we get a palindrome (462334262433264).

The spelling of 132313131120033 in words is "one hundred thirty-two trillion, three hundred thirteen billion, one hundred thirty-one million, one hundred twenty thousand, thirty-three".