10002031333101 has 12 divisors (see below), whose sum is σ = 14447909067228. Its totient is φ = 6667776054144.

The previous prime is 10002031333097. The next prime is 10002031333103. The reversal of 10002031333101 is 10133313020001.

It is a happy number.

10002031333101 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 20 + 313 + 331 + 0 + 1 = 666.

10002031333101 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 2 ways, for example, as 7629279273225 + 2372752059876 = 2762115^2 + 1540374^2 .

It is not a de Polignac number, because 10002031333101 - 2² = 10002031333097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002031333103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20143980 + ... + 20634533.

It is an arithmetic number, because the mean of its divisors is an integer number (1203992422269).

Almost surely, 2^{10002031333101} is an apocalyptic number.

It is an amenable number.

10002031333101 is a deficient number, since it is larger than the sum of its proper divisors (4445877734127).

10002031333101 is a wasteful number, since it uses less digits than its factorization.

10002031333101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40805772 (or 40805769 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10002031333101 its reverse (10133313020001), we get a palindrome (20135344353102).

The spelling of 10002031333101 in words is "ten trillion, two billion, thirty-one million, three hundred thirty-three thousand, one hundred one".