2301311332013 has 8 divisors (see below), whose sum is σ = 2324128993536. Its totient is φ = 2278494306000.

The previous prime is 2301311331983. The next prime is 2301311332039. The reversal of 2301311332013 is 3102331131032.

2301311332013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2301311332013 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2301311332013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301311332063) 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, 10947608 + ... + 11155838.

It is an arithmetic number, because the mean of its divisors is an integer number (290516124192).

Almost surely, 2^{2301311332013} is an apocalyptic number.

It is an amenable number.

2301311332013 is a deficient number, since it is larger than the sum of its proper divisors (22817661523).

2301311332013 is a wasteful number, since it uses less digits than its factorization.

2301311332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317755.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 2301311332013 its reverse (3102331131032), we get a palindrome (5403642463045).

The spelling of 2301311332013 in words is "two trillion, three hundred one billion, three hundred eleven million, three hundred thirty-two thousand, thirteen".