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13101332213131 is a prime number
BaseRepresentation
bin1011111010100110010001…
…0000001010110110001011
31201101110211100221022101021
42332221210100022312023
53204123012021310011
643510400253333311
72521353140244241
oct276514420126613
951343740838337
1013101332213131
1141a1275535288
121577161797237
137405b14a1246
14334171d90791
1517abe0826471
hexbea6440ad8b

13101332213131 has 2 divisors, whose sum is σ = 13101332213132. Its totient is φ = 13101332213130.

The previous prime is 13101332213119. The next prime is 13101332213171. The reversal of 13101332213131 is 13131223310131.

It is a weak prime.

It is an emirp because it is prime and its reverse (13131223310131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13101332213131 is a prime.

It is a super-2 number, since 2×131013322131312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13101332213096 and 13101332213105.

It is not a weakly prime, because it can be changed into another prime (13101332213171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550666106565 + 6550666106566.

It is an arithmetic number, because the mean of its divisors is an integer number (6550666106566).

Almost surely, 213101332213131 is an apocalyptic number.

13101332213131 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101332213131 is an equidigital number, since it uses as much as digits as its factorization.

13101332213131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 13101332213131 its reverse (13131223310131), we get a palindrome (26232555523262).

The spelling of 13101332213131 in words is "thirteen trillion, one hundred one billion, three hundred thirty-two million, two hundred thirteen thousand, one hundred thirty-one".