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13103011323101 = 721971357403017
BaseRepresentation
bin1011111010101100100001…
…0101011101110011011101
31201101122011101110221020102
42332223020111131303131
53204134431344314401
643511235034430445
72521442556402500
oct276531025356335
951348141427212
1013103011323101
1141a1a5732a477
12157754bb92425
137407bb31523b
14334290d99137
1517ac8ce5056b
hexbeac855dcdd

13103011323101 has 12 divisors (see below), whose sum is σ = 15319650461148. Its totient is φ = 11174141627712.

The previous prime is 13103011323089. The next prime is 13103011323131. The reversal of 13103011323101 is 10132311030131.

It can be written as a sum of positive squares in 2 ways, for example, as 12422988439876 + 680022883225 = 3524626^2 + 824635^2 .

It is not a de Polignac number, because 13103011323101 - 226 = 13102944214237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103011323131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 678691856 + ... + 678711161.

It is an arithmetic number, because the mean of its divisors is an integer number (1276637538429).

Almost surely, 213103011323101 is an apocalyptic number.

It is an amenable number.

13103011323101 is a deficient number, since it is larger than the sum of its proper divisors (2216639138047).

13103011323101 is a wasteful number, since it uses less digits than its factorization.

13103011323101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357403228 (or 1357403221 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13103011323101 its reverse (10132311030131), we get a palindrome (23235322353232).

The spelling of 13103011323101 in words is "thirteen trillion, one hundred three billion, eleven million, three hundred twenty-three thousand, one hundred one".

Divisors: 1 7 49 197 1379 9653 1357403017 9501821119 66512747833 267408394349 1871858760443 13103011323101