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1310012123213 is a prime number
BaseRepresentation
bin10011000100000010110…
…011101010100001001101
311122020100222221000021102
4103010002303222201031
5132430401100420323
62441451122112445
7163434215215103
oct23040263524115
94566328830242
101310012123213
11465633767592
12191a804ab725
13966c246a9c1
1447595185c73
1524122dca328
hex13102cea84d

1310012123213 has 2 divisors, whose sum is σ = 1310012123214. Its totient is φ = 1310012123212.

The previous prime is 1310012123179. The next prime is 1310012123221. The reversal of 1310012123213 is 3123212100131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 805375220329 + 504636902884 = 897427^2 + 710378^2 .

It is an emirp because it is prime and its reverse (3123212100131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1310012123213 - 230 = 1308938381389 is a prime.

It is a super-2 number, since 2×13100121232132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310012123243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655006061606 + 655006061607.

It is an arithmetic number, because the mean of its divisors is an integer number (655006061607).

Almost surely, 21310012123213 is an apocalyptic number.

It is an amenable number.

1310012123213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310012123213 is an equidigital number, since it uses as much as digits as its factorization.

1310012123213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1310012123213 its reverse (3123212100131), we get a palindrome (4433224223344).

The spelling of 1310012123213 in words is "one trillion, three hundred ten billion, twelve million, one hundred twenty-three thousand, two hundred thirteen".