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13100031113 = 132731061849
BaseRepresentation
bin11000011001101001…
…01001110010001001
31020210222000112100112
430030310221302021
5203312101443423
610003523044105
7642426266351
oct141464516211
936728015315
1013100031113
1156126982a4
122657210635
13130a026700
148c3b67b61
1551a110a78
hex30cd29c89

13100031113 has 12 divisors (see below), whose sum is σ = 14379572700. Its totient is φ = 11926676736.

The previous prime is 13100031103. The next prime is 13100031121. The reversal of 13100031113 is 31113000131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 663989824 + 12436041289 = 25768^2 + 111517^2 .

It is a de Polignac number, because none of the positive numbers 2k-13100031113 is a prime.

It is a super-2 number, since 2×131000311132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13100031103) 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, 518588 + ... + 543261.

It is an arithmetic number, because the mean of its divisors is an integer number (1198297725).

Almost surely, 213100031113 is an apocalyptic number.

13100031113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13100031113 is a deficient number, since it is larger than the sum of its proper divisors (1279541587).

13100031113 is a wasteful number, since it uses less digits than its factorization.

13100031113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061948 (or 1061935 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13100031113 its reverse (31113000131), we get a palindrome (44213031244).

The spelling of 13100031113 in words is "thirteen billion, one hundred million, thirty-one thousand, one hundred thirteen".

Divisors: 1 13 73 169 949 12337 1061849 13804037 77514977 179452481 1007694701 13100031113