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23033023321313 is a prime number
BaseRepresentation
bin1010011110010110010110…
…01011000101010011100001
310000112221020222221022122102
411033023023023011103201
511004333112432240223
6120553120322020145
74565036534621465
oct517131313052341
9100487228838572
1023033023321313
1173802832168a5
1226bbb54aa7655
13cb100a667345
14598b38d164a5
1529e21d852928
hex14f2cb2c54e1

23033023321313 has 2 divisors, whose sum is σ = 23033023321314. Its totient is φ = 23033023321312.

The previous prime is 23033023321307. The next prime is 23033023321349. The reversal of 23033023321313 is 31312332033032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21035908866064 + 1997114455249 = 4586492^2 + 1413193^2 .

It is a cyclic number.

It is not a de Polignac number, because 23033023321313 - 218 = 23033023059169 is a prime.

It is a super-4 number, since 4×230330233213134 (a number of 55 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (23032023321313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11516511660656 + 11516511660657.

It is an arithmetic number, because the mean of its divisors is an integer number (11516511660657).

Almost surely, 223033023321313 is an apocalyptic number.

It is an amenable number.

23033023321313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23033023321313 is an equidigital number, since it uses as much as digits as its factorization.

23033023321313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 23033023321313 its reverse (31312332033032), we get a palindrome (54345355354345).

The spelling of 23033023321313 in words is "twenty-three trillion, thirty-three billion, twenty-three million, three hundred twenty-one thousand, three hundred thirteen".