10132200120233 has 8 divisors (see below), whose sum is σ = 10272818575656. Its totient is φ = 9991630886400.

The previous prime is 10132200120221. The next prime is 10132200120257. The reversal of 10132200120233 is 33202100223101.

10132200120233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8417640334489 + 1714559785744 = 2901317^2 + 1309412^2 .

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 10132200120233 - 2²⁴ = 10132183343017 is a prime.

It is a super-3 number, since 3×10132200120233³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10132200120283) 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, 11890748 + ... + 12714333.

It is an arithmetic number, because the mean of its divisors is an integer number (1284102321957).

Almost surely, 2^{10132200120233} is an apocalyptic number.

It is an amenable number.

10132200120233 is a deficient number, since it is larger than the sum of its proper divisors (140618455423).

10132200120233 is an equidigital number, since it uses as much as digits as its factorization.

10132200120233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24610795.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10132200120233 its reverse (33202100223101), we get a palindrome (43334300343334).

The spelling of 10132200120233 in words is "ten trillion, one hundred thirty-two billion, two hundred million, one hundred twenty thousand, two hundred thirty-three".