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1221434011331 is a prime number
BaseRepresentation
bin10001110001100011001…
…000111110111011000011
311022202201211120200221222
4101301203020332323003
5130002444101330311
62333041413505255
7154150162536002
oct21614310767303
94282654520858
101221434011331
11431009725046
1217887b94222b
138b2470bbb51
1443191056c39
1521b8b7b8adb
hex11c6323eec3

1221434011331 has 2 divisors, whose sum is σ = 1221434011332. Its totient is φ = 1221434011330.

The previous prime is 1221434011297. The next prime is 1221434011333. The reversal of 1221434011331 is 1331104341221.

It is a strong prime.

It is an emirp because it is prime and its reverse (1331104341221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1221434011331 is a prime.

It is a super-3 number, since 3×12214340113313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 1221434011333, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1221434011331.

It is not a weakly prime, because it can be changed into another prime (1221434011333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610717005665 + 610717005666.

It is an arithmetic number, because the mean of its divisors is an integer number (610717005666).

Almost surely, 21221434011331 is an apocalyptic number.

1221434011331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221434011331 is an equidigital number, since it uses as much as digits as its factorization.

1221434011331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 1221434011331 its reverse (1331104341221), we get a palindrome (2552538352552).

The spelling of 1221434011331 in words is "one trillion, two hundred twenty-one billion, four hundred thirty-four million, eleven thousand, three hundred thirty-one".