100131223302033 has 32 divisors (see below), whose sum is σ = 166452573238272. Its totient is φ = 52016010657600.

The previous prime is 100131223302013. The next prime is 100131223302043. The reversal of 100131223302033 is 330203322131001.

It is not a de Polignac number, because 100131223302033 - 2¹⁴ = 100131223285649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100131223301994 and 100131223302012.

It is not an unprimeable number, because it can be changed into a prime (100131223302013) 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 31 ways as a sum of consecutive naturals, for example, 68652943 + ... + 70096283.

It is an arithmetic number, because the mean of its divisors is an integer number (5201642913696).

Almost surely, 2^{100131223302033} is an apocalyptic number.

It is an amenable number.

100131223302033 is a deficient number, since it is larger than the sum of its proper divisors (66321349936239).

100131223302033 is a wasteful number, since it uses less digits than its factorization.

100131223302033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743685.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 100131223302033 its reverse (330203322131001), we get a palindrome (430334545433034).

The spelling of 100131223302033 in words is "one hundred trillion, one hundred thirty-one billion, two hundred twenty-three million, three hundred two thousand, thirty-three".