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23321312311313 is a prime number
BaseRepresentation
bin1010100110101111010101…
…00010010011100000010001
310001120111101100112101210102
411103113222202103200101
511024044021422430223
6121333355111342145
74624623600612632
oct523275242234021
9101514340471712
1023321312311313
1174815708a5a35
1227479b0381955
131002262175a23
145a8a86985889
152a6992d27928
hex1535ea893811

23321312311313 has 2 divisors, whose sum is σ = 23321312311314. Its totient is φ = 23321312311312.

The previous prime is 23321312311261. The next prime is 23321312311369. The reversal of 23321312311313 is 31311321312332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20190436864129 + 3130875447184 = 4493377^2 + 1769428^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23321312311313 is a prime.

It is not a weakly prime, because it can be changed into another prime (23321312317313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11660656155656 + 11660656155657.

It is an arithmetic number, because the mean of its divisors is an integer number (11660656155657).

Almost surely, 223321312311313 is an apocalyptic number.

It is an amenable number.

23321312311313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23321312311313 is an equidigital number, since it uses as much as digits as its factorization.

23321312311313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5832, while the sum is 29.

Adding to 23321312311313 its reverse (31311321312332), we get a palindrome (54632633623645).

The spelling of 23321312311313 in words is "twenty-three trillion, three hundred twenty-one billion, three hundred twelve million, three hundred eleven thousand, three hundred thirteen".