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13100102320123 = 7131118691286837
BaseRepresentation
bin1011111010100001101011…
…1100011111111111111011
31201101100122122200021100101
42332220122330133333323
53204113002143220443
643510034240420231
72521310514314320
oct276503274377773
951340578607311
1013100102320123
1141a07a4271485
121576a79917677
137404467416c0
143340968bcb47
1517ab6c88384d
hexbea1af1fffb

13100102320123 has 16 divisors (see below), whose sum is σ = 16123359510720. Its totient is φ = 10364815414656.

The previous prime is 13100102320033. The next prime is 13100102320133. The reversal of 13100102320123 is 32102320100131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13100102320123 is a prime.

It is a super-3 number, since 3×131001023201233 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13100102320123.

It is not an unprimeable number, because it can be changed into a prime (13100102320133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9536661 + ... + 10823497.

It is an arithmetic number, because the mean of its divisors is an integer number (1007709969420).

Almost surely, 213100102320123 is an apocalyptic number.

13100102320123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13100102320123 is a deficient number, since it is larger than the sum of its proper divisors (3023257190597).

13100102320123 is a wasteful number, since it uses less digits than its factorization.

13100102320123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398726.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13100102320123 its reverse (32102320100131), we get a palindrome (45202422420254).

The spelling of 13100102320123 in words is "thirteen trillion, one hundred billion, one hundred two million, three hundred twenty thousand, one hundred twenty-three".

Divisors: 1 7 13 91 111869 783083 1286837 1454297 9007859 10180079 16728881 117102167 143957168353 1007700178471 1871443188589 13100102320123