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13101321123 = 3211196965083
BaseRepresentation
bin11000011001110011…
…00100101110100011
31020211001110001220200
430030321210232203
5203312414233443
610004010440243
7642443251332
oct141471445643
936731401820
1013101321123
115613399520
122657733083
13130a388927
148c3dc1d19
1551a2b7dd3
hex30ce64ba3

13101321123 has 24 divisors (see below), whose sum is σ = 21731062080. Its totient is φ = 7522288560.

The previous prime is 13101321073. The next prime is 13101321127. The reversal of 13101321123 is 32112310131.

13101321123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13101321123 - 217 = 13101190051 is a prime.

It is a super-2 number, since 2×131013211232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13101321096 and 13101321105.

It is not an unprimeable number, because it can be changed into a prime (13101321127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3480661 + ... + 3484422.

It is an arithmetic number, because the mean of its divisors is an integer number (905460920).

Almost surely, 213101321123 is an apocalyptic number.

13101321123 is a deficient number, since it is larger than the sum of its proper divisors (8629740957).

13101321123 is a wasteful number, since it uses less digits than its factorization.

13101321123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965119 (or 6965116 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13101321123 its reverse (32112310131), we get a palindrome (45213631254).

The spelling of 13101321123 in words is "thirteen billion, one hundred one million, three hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 6965083 20895249 62685747 76615913 132336577 229847739 397009731 689543217 1191029193 1455702347 4367107041 13101321123