10205304333133 has 16 divisors (see below), whose sum is σ = 12561159767296. Its totient is φ = 8074021731840.

The previous prime is 10205304333113. The next prime is 10205304333143. The reversal of 10205304333133 is 33133340350201.

It is a cyclic number.

It is not a de Polignac number, because 10205304333133 - 2²⁵ = 10205270778701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10205304333095 and 10205304333104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205304333113) 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, 2038353 + ... + 4956358.

It is an arithmetic number, because the mean of its divisors is an integer number (785072485456).

Almost surely, 2^{10205304333133} is an apocalyptic number.

10205304333133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10205304333133 is a deficient number, since it is larger than the sum of its proper divisors (2355855434163).

10205304333133 is a wasteful number, since it uses less digits than its factorization.

10205304333133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7010764.

The product of its (nonzero) digits is 29160, while the sum is 31.

Adding to 10205304333133 its reverse (33133340350201), we get a palindrome (43338644683334).

The spelling of 10205304333133 in words is "ten trillion, two hundred five billion, three hundred four million, three hundred thirty-three thousand, one hundred thirty-three".