10032133313250 has 48 divisors (see below), whose sum is σ = 27126888485112. Its totient is φ = 2675235549600.

The previous prime is 10032133313249. The next prime is 10032133313263. The reversal of 10032133313250 is 5231333123001.

10032133313250 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 2 + 1 + 3 + 331 + 325 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6200832081609 + 3831301231641 = 2490147^2 + 1957371^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2229360709 + ... + 2229365208.

Almost surely, 2^{10032133313250} is an apocalyptic number.

10032133313250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10032133313250 is an abundant number, since it is smaller than the sum of its proper divisors (17094755171862).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10032133313250 is a wasteful number, since it uses less digits than its factorization.

10032133313250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458725940 (or 4458725927 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 10032133313250 its reverse (5231333123001), we get a palindrome (15263466436251).

The spelling of 10032133313250 in words is "ten trillion, thirty-two billion, one hundred thirty-three million, three hundred thirteen thousand, two hundred fifty".