2201132133313 has 16 divisors (see below), whose sum is σ = 2296182691152. Its totient is φ = 2108186496000.

The previous prime is 2201132133283. The next prime is 2201132133341. The reversal of 2201132133313 is 3133312311022.

It can be written as a sum of positive squares in 8 ways, for example, as 703095666064 + 1498036467249 = 838508^2 + 1223943^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201132133313 - 2⁵ = 2201132133281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2201132133113) 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, 458395 + ... + 2147647.

It is an arithmetic number, because the mean of its divisors is an integer number (143511418197).

Almost surely, 2^{2201132133313} is an apocalyptic number.

It is an amenable number.

2201132133313 is a deficient number, since it is larger than the sum of its proper divisors (95050557839).

2201132133313 is a wasteful number, since it uses less digits than its factorization.

2201132133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689876.

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

Adding to 2201132133313 its reverse (3133312311022), we get a palindrome (5334444444335).

The spelling of 2201132133313 in words is "two trillion, two hundred one billion, one hundred thirty-two million, one hundred thirty-three thousand, three hundred thirteen".