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23131543651313 is a prime number
BaseRepresentation
bin1010100001001101110110…
…11100010100001111110001
310000220100120001022122020112
411100212323130110033301
511012441400133320223
6121110252350351105
74605125133614336
oct520467334241761
9100810501278215
1023131543651313
11740903a397a29
12271706b1bb495
13cba3ab7521b6
1459d80364698d
152a1a87c0b778
hex1509bb7143f1

23131543651313 has 2 divisors, whose sum is σ = 23131543651314. Its totient is φ = 23131543651312.

The previous prime is 23131543651303. The next prime is 23131543651319. The reversal of 23131543651313 is 31315634513132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13197649982449 + 9933893668864 = 3632857^2 + 3151808^2 .

It is a cyclic number.

It is not a de Polignac number, because 23131543651313 - 224 = 23131526874097 is a prime.

It is a super-2 number, since 2×231315436513132 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23131543651319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11565771825656 + 11565771825657.

It is an arithmetic number, because the mean of its divisors is an integer number (11565771825657).

Almost surely, 223131543651313 is an apocalyptic number.

It is an amenable number.

23131543651313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23131543651313 is an equidigital number, since it uses as much as digits as its factorization.

23131543651313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 291600, while the sum is 41.

The spelling of 23131543651313 in words is "twenty-three trillion, one hundred thirty-one billion, five hundred forty-three million, six hundred fifty-one thousand, three hundred thirteen".