100131132011333 has 8 divisors (see below), whose sum is σ = 101743890652056. Its totient is φ = 98524889568000.

The previous prime is 100131132011311. The next prime is 100131132011413. The reversal of 100131132011333 is 333110231131001.

It can be written as a sum of positive squares in 4 ways, for example, as 4792741128289 + 95338390883044 = 2189233^2 + 9764138^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100131132011333 - 2⁸ = 100131132011077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100131132011299 and 100131132011308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131132010333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1629018368 + ... + 1629079833.

It is an arithmetic number, because the mean of its divisors is an integer number (12717986331507).

Almost surely, 2^{100131132011333} is an apocalyptic number.

It is an amenable number.

100131132011333 is a deficient number, since it is larger than the sum of its proper divisors (1612758640723).

100131132011333 is an equidigital number, since it uses as much as digits as its factorization.

100131132011333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258098695.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 100131132011333 its reverse (333110231131001), we get a palindrome (433241363142334).

The spelling of 100131132011333 in words is "one hundred trillion, one hundred thirty-one billion, one hundred thirty-two million, eleven thousand, three hundred thirty-three".