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13102022103133 is a prime number
BaseRepresentation
bin1011111010101000110101…
…0111111001000001011101
31201101112121110002100112211
42332222031113321001131
53204130420124300013
643510552540200421
72521406215230325
oct276521527710135
951345543070484
1013102022103133
1141a15999a9907
121577314839111
137406913b0992
143341d9856285
1517ac3119d23d
hexbea8d5f905d

13102022103133 has 2 divisors, whose sum is σ = 13102022103134. Its totient is φ = 13102022103132.

The previous prime is 13102022103127. The next prime is 13102022103139. The reversal of 13102022103133 is 33130122020131.

It is a balanced prime because it is at equal distance from previous prime (13102022103127) and next prime (13102022103139).

It can be written as a sum of positive squares in only one way, i.e., 10046091576249 + 3055930526884 = 3169557^2 + 1748122^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13102022103133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13102022103139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6551011051566 + 6551011051567.

It is an arithmetic number, because the mean of its divisors is an integer number (6551011051567).

Almost surely, 213102022103133 is an apocalyptic number.

It is an amenable number.

13102022103133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13102022103133 is an equidigital number, since it uses as much as digits as its factorization.

13102022103133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13102022103133 its reverse (33130122020131), we get a palindrome (46232144123264).

The spelling of 13102022103133 in words is "thirteen trillion, one hundred two billion, twenty-two million, one hundred three thousand, one hundred thirty-three".