2232131033113 has 8 divisors (see below), whose sum is σ = 2248607388168. Its totient is φ = 2215657336704.

The previous prime is 2232131033107. The next prime is 2232131033123. The reversal of 2232131033113 is 3113301312322.

It can be written as a sum of positive squares in 4 ways, for example, as 872873512729 + 1359257520384 = 934277^2 + 1165872^2 .

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-2232131033113 is a prime.

It is a super-3 number, since 3×2232131033113³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2232131033123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1036695 + ... + 2353507.

It is an arithmetic number, because the mean of its divisors is an integer number (281075923521).

Almost surely, 2^{2232131033113} is an apocalyptic number.

It is an amenable number.

2232131033113 is a deficient number, since it is larger than the sum of its proper divisors (16476355055).

2232131033113 is a wasteful number, since it uses less digits than its factorization.

2232131033113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329323.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 2232131033113 its reverse (3113301312322), we get a palindrome (5345432345435).

The spelling of 2232131033113 in words is "two trillion, two hundred thirty-two billion, one hundred thirty-one million, thirty-three thousand, one hundred thirteen".