100131131320033 has 16 divisors (see below), whose sum is σ = 111777069330432. Its totient is φ = 88909150050000.

The previous prime is 100131131320019. The next prime is 100131131320109. The reversal of 100131131320033 is 330023131131001.

It is a cyclic number.

It is not a de Polignac number, because 100131131320033 - 2¹⁷ = 100131131188961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100131131319986 and 100131131320013.

It is not an unprimeable number, because it can be changed into a prime (100131131320013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16527408 + ... + 21758158.

It is an arithmetic number, because the mean of its divisors is an integer number (6986066833152).

Almost surely, 2^{100131131320033} is an apocalyptic number.

It is an amenable number.

100131131320033 is a deficient number, since it is larger than the sum of its proper divisors (11645938010399).

100131131320033 is a wasteful number, since it uses less digits than its factorization.

100131131320033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271276.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 100131131320033 its reverse (330023131131001), we get a palindrome (430154262451034).

The spelling of 100131131320033 in words is "one hundred trillion, one hundred thirty-one billion, one hundred thirty-one million, three hundred twenty thousand, thirty-three".