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123210031213 is a prime number
BaseRepresentation
bin111001010111111100…
…0111110000001101101
3102210000201102002111101
41302233320332001231
54004313231444323
6132334002323101
711621154661663
oct1625770760155
9383021362441
10123210031213
114828693a085
121ba66959491
13b807258a19
145d6b7c2c33
153311bd5dad
hex1cafe3e06d

123210031213 has 2 divisors, whose sum is σ = 123210031214. Its totient is φ = 123210031212.

The previous prime is 123210031211. The next prime is 123210031261. The reversal of 123210031213 is 312130012321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88092020809 + 35118010404 = 296803^2 + 187398^2 .

It is an emirp because it is prime and its reverse (312130012321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123210031213 - 21 = 123210031211 is a prime.

It is a super-3 number, since 3×1232100312133 (a number of 34 digits) contains 333 as substring.

Together with 123210031211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123210031211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61605015606 + 61605015607.

It is an arithmetic number, because the mean of its divisors is an integer number (61605015607).

Almost surely, 2123210031213 is an apocalyptic number.

It is an amenable number.

123210031213 is a deficient number, since it is larger than the sum of its proper divisors (1).

123210031213 is an equidigital number, since it uses as much as digits as its factorization.

123210031213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 123210031213 its reverse (312130012321), we get a palindrome (435340043534).

The spelling of 123210031213 in words is "one hundred twenty-three billion, two hundred ten million, thirty-one thousand, two hundred thirteen".