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13101303100023 = 333311465962079
BaseRepresentation
bin1011111010100110001010…
…0001000111001001110111
31201101110202100011012201000
42332221202201013021313
53204122432043200043
643510353333334343
72521352334631335
oct276514241071167
951343670135630
1013101303100023
1141a1260060166
121577153a973b3
137405a8449b58
1433416c172b55
1517abdcec52d3
hexbea62847277

13101303100023 has 16 divisors (see below), whose sum is σ = 19467976422400. Its totient is φ = 8707814743320.

The previous prime is 13101303100021. The next prime is 13101303100033. The reversal of 13101303100023 is 32000130310131.

It is a happy number.

It is not a de Polignac number, because 13101303100023 - 21 = 13101303100021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13101303099969 and 13101303100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101303100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732972103 + ... + 732989976.

It is an arithmetic number, because the mean of its divisors is an integer number (1216748526400).

Almost surely, 213101303100023 is an apocalyptic number.

13101303100023 is a deficient number, since it is larger than the sum of its proper divisors (6366673322377).

13101303100023 is a wasteful number, since it uses less digits than its factorization.

13101303100023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465962419 (or 1465962413 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13101303100023 its reverse (32000130310131), we get a palindrome (45101433410154).

The spelling of 13101303100023 in words is "thirteen trillion, one hundred one billion, three hundred three million, one hundred thousand, twenty-three".

Divisors: 1 3 9 27 331 993 2979 8937 1465962079 4397886237 13193658711 39580976133 485233448149 1455700344447 4367101033341 13101303100023