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2331121133213 is a prime number
BaseRepresentation
bin100001111011000001101…
…001011010011010011101
322020212000211200020201122
4201323001221122122131
5301143114002230323
64542522520020325
7330263232461255
oct41730151323235
98225024606648
102331121133213
11819694120094
123179539016a5
1313ba92ac7bb2
1480b80cba965
1540987922ec8
hex21ec1a5a69d

2331121133213 has 2 divisors, whose sum is σ = 2331121133214. Its totient is φ = 2331121133212.

The previous prime is 2331121133177. The next prime is 2331121133279. The reversal of 2331121133213 is 3123311211332.

2331121133213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1766884294564 + 564236838649 = 1329242^2 + 751157^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2331121133213 is a prime.

It is a super-2 number, since 2×23311211332132 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2331121133293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1165560566606 + 1165560566607.

It is an arithmetic number, because the mean of its divisors is an integer number (1165560566607).

Almost surely, 22331121133213 is an apocalyptic number.

It is an amenable number.

2331121133213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2331121133213 is an equidigital number, since it uses as much as digits as its factorization.

2331121133213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 26.

Adding to 2331121133213 its reverse (3123311211332), we get a palindrome (5454432344545).

The spelling of 2331121133213 in words is "two trillion, three hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-three thousand, two hundred thirteen".