10100031331133 has 8 divisors (see below), whose sum is σ = 10102443579000. Its totient is φ = 10097619386368.

The previous prime is 10100031331081. The next prime is 10100031331147. The reversal of 10100031331133 is 33113313000101.

It can be written as a sum of positive squares in 4 ways, for example, as 3885795022564 + 6214236308569 = 1971242^2 + 2492837^2 .

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 10100031331133 - 2⁸ = 10100031330877 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100031331333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75233813 + ... + 75367941.

It is an arithmetic number, because the mean of its divisors is an integer number (1262805447375).

Almost surely, 2^{10100031331133} is an apocalyptic number.

It is an amenable number.

10100031331133 is a deficient number, since it is larger than the sum of its proper divisors (2412247867).

10100031331133 is an equidigital number, since it uses as much as digits as its factorization.

10100031331133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151551.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 10100031331133 its reverse (33113313000101), we get a palindrome (43213344331234).

The spelling of 10100031331133 in words is "ten trillion, one hundred billion, thirty-one million, three hundred thirty-one thousand, one hundred thirty-three".