10032133313241 has 16 divisors (see below), whose sum is σ = 16005682779520. Its totient is φ = 6173620500240.

The previous prime is 10032133313203. The next prime is 10032133313249. The reversal of 10032133313241 is 14231333123001.

10032133313241 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 2 + 1 + 3 + 331 + 324 + 1 = 666.

It is not a de Polignac number, because 10032133313241 - 2¹³ = 10032133305049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10032133313249) 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, 14290787845 + ... + 14290788546.

It is an arithmetic number, because the mean of its divisors is an integer number (1000355173720).

Almost surely, 2^{10032133313241} is an apocalyptic number.

It is an amenable number.

10032133313241 is a deficient number, since it is larger than the sum of its proper divisors (5973549466279).

10032133313241 is a wasteful number, since it uses less digits than its factorization.

10032133313241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28581576413 (or 28581576407 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10032133313241 its reverse (14231333123001), we get a palindrome (24263466436242).

The spelling of 10032133313241 in words is "ten trillion, thirty-two billion, one hundred thirty-three million, three hundred thirteen thousand, two hundred forty-one".