2301205432133 has 12 divisors (see below), whose sum is σ = 2365428223620. Its totient is φ = 2238682084992.

The previous prime is 2301205432121. The next prime is 2301205432153. The reversal of 2301205432133 is 3312345021032.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1348752404164 + 952453027969 = 1161358^2 + 975937^2 .

It is not a de Polignac number, because 2301205432133 - 2¹² = 2301205428037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2301205432096 and 2301205432105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301205432103) 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, 9480953 + ... + 9720641.

It is an arithmetic number, because the mean of its divisors is an integer number (197119018635).

Almost surely, 2^{2301205432133} is an apocalyptic number.

It is an amenable number.

2301205432133 is a deficient number, since it is larger than the sum of its proper divisors (64222791487).

2301205432133 is an equidigital number, since it uses as much as digits as its factorization.

2301205432133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246776 (or 246739 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The spelling of 2301205432133 in words is "two trillion, three hundred one billion, two hundred five million, four hundred thirty-two thousand, one hundred thirty-three".