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2313133132801 is a prime number
BaseRepresentation
bin100001101010010001011…
…110101000110000000001
322012010121020002011001011
4201222101132220300001
5300344244040222201
64530345542440521
7326055411134341
oct41522136506001
98163536064034
102313133132801
11811aa3394147
12314373733141
1313a18720937a
147dd55cd4d21
154028363a151
hex21a917a8c01

2313133132801 has 2 divisors, whose sum is σ = 2313133132802. Its totient is φ = 2313133132800.

The previous prime is 2313133132799. The next prime is 2313133132831. The reversal of 2313133132801 is 1082313313132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1333332090000 + 979801042801 = 1154700^2 + 989849^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313133132801 - 21 = 2313133132799 is a prime.

Together with 2313133132799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2313133132831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156566566400 + 1156566566401.

It is an arithmetic number, because the mean of its divisors is an integer number (1156566566401).

Almost surely, 22313133132801 is an apocalyptic number.

It is an amenable number.

2313133132801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313133132801 is an equidigital number, since it uses as much as digits as its factorization.

2313133132801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 31.

Adding to 2313133132801 its reverse (1082313313132), we get a palindrome (3395446445933).

The spelling of 2313133132801 in words is "two trillion, three hundred thirteen billion, one hundred thirty-three million, one hundred thirty-two thousand, eight hundred one".