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13130102323 = 131992957221
BaseRepresentation
bin11000011101001110…
…10111011000110011
31020220001121022022001
430032213113120303
5203342301233243
610010515354431
7643243012462
oct141647273063
936801538261
1013130102323
115628667238
1226652b2a17
131313324c20
148c7b549d9
1551caa0a4d
hex30e9d7633

13130102323 has 16 divisors (see below), whose sum is σ = 14900608800. Its totient is φ = 11469634560.

The previous prime is 13130102309. The next prime is 13130102327. The reversal of 13130102323 is 32320103131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13130102323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13130102323.

It is not an unprimeable number, because it can be changed into a prime (13130102327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200853 + ... + 258073.

It is an arithmetic number, because the mean of its divisors is an integer number (931288050).

Almost surely, 213130102323 is an apocalyptic number.

13130102323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13130102323 is a deficient number, since it is larger than the sum of its proper divisors (1770506477).

13130102323 is a wasteful number, since it uses less digits than its factorization.

13130102323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58182.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13130102323 its reverse (32320103131), we get a palindrome (45450205454).

The spelling of 13130102323 in words is "thirteen billion, one hundred thirty million, one hundred two thousand, three hundred twenty-three".

Divisors: 1 13 19 247 929 12077 17651 57221 229463 743873 1087199 14133587 53158309 691058017 1010007871 13130102323