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22031203332013 is a prime number
BaseRepresentation
bin1010000001001100010100…
…00011000110111110101101
32220000011101102212212012021
411000212022003012332231
510341424401023111023
6114504554534510141
74432462520332261
oct500461203067655
986004342785167
1022031203332013
117024420a24017
122579965505351
13c3a6c2300175
1456245ccb20a1
1528313743535d
hex14098a0c6fad

22031203332013 has 2 divisors, whose sum is σ = 22031203332014. Its totient is φ = 22031203332012.

The previous prime is 22031203332007. The next prime is 22031203332031. The reversal of 22031203332013 is 31023330213022.

Together with next prime (22031203332031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21936980118249 + 94223213764 = 4683693^2 + 306958^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22031203332013 is a prime.

It is a super-4 number, since 4×220312033320134 (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22031203332613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11015601666006 + 11015601666007.

It is an arithmetic number, because the mean of its divisors is an integer number (11015601666007).

Almost surely, 222031203332013 is an apocalyptic number.

It is an amenable number.

22031203332013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22031203332013 is an equidigital number, since it uses as much as digits as its factorization.

22031203332013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 22031203332013 its reverse (31023330213022), we get a palindrome (53054533545035).

The spelling of 22031203332013 in words is "twenty-two trillion, thirty-one billion, two hundred three million, three hundred thirty-two thousand, thirteen".