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103131132331333 is a prime number
BaseRepresentation
bin10111011100110000010110…
…100000100000010101000101
3111112011020110221012102221011
4113130300112200200111011
5102004200024334100313
61003201442123122221
730502656412625251
oct2734602640402505
9445136427172834
10103131132331333
112a95173863a2a7
12b697607673371
1345712bb30b4c2
141b6780572b261
15bdca2649793d
hex5dcc16820545

103131132331333 has 2 divisors, whose sum is σ = 103131132331334. Its totient is φ = 103131132331332.

The previous prime is 103131132331207. The next prime is 103131132331343. The reversal of 103131132331333 is 333133231131301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84886334170884 + 18244798160449 = 9213378^2 + 4271393^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103131132331333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103131132331295 and 103131132331304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103131132331343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51565566165666 + 51565566165667.

It is an arithmetic number, because the mean of its divisors is an integer number (51565566165667).

Almost surely, 2103131132331333 is an apocalyptic number.

It is an amenable number.

103131132331333 is a deficient number, since it is larger than the sum of its proper divisors (1).

103131132331333 is an equidigital number, since it uses as much as digits as its factorization.

103131132331333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 31.

Adding to 103131132331333 its reverse (333133231131301), we get a palindrome (436264363462634).

The spelling of 103131132331333 in words is "one hundred three trillion, one hundred thirty-one billion, one hundred thirty-two million, three hundred thirty-one thousand, three hundred thirty-three".