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13012870013 = 1113436320857
BaseRepresentation
bin11000001111010000…
…01010001101111101
31020120220000021210122
430013220022031331
5203122243320023
65551130544325
7640320366353
oct140750121575
936526007718
1013012870013
115578475930
122631b980a5
1312c4c599b0
148b63597d3
155126452c8
hex307a0a37d

13012870013 has 16 divisors (see below), whose sum is σ = 15292084416. Its totient is φ = 10916864640.

The previous prime is 13012870001. The next prime is 13012870019. The reversal of 13012870013 is 31007821031.

13012870013 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 13012870013 - 222 = 13008675709 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 (13012870019) 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 15 ways as a sum of consecutive naturals, for example, 613481 + ... + 634337.

It is an arithmetic number, because the mean of its divisors is an integer number (955755276).

Almost surely, 213012870013 is an apocalyptic number.

13012870013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13012870013 is a deficient number, since it is larger than the sum of its proper divisors (2279214403).

13012870013 is a wasteful number, since it uses less digits than its factorization.

13012870013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25244.

The product of its (nonzero) digits is 1008, while the sum is 26.

The spelling of 13012870013 in words is "thirteen billion, twelve million, eight hundred seventy thousand, thirteen".

Divisors: 1 11 13 143 4363 20857 47993 56719 229427 271141 623909 2982551 90999091 1000990001 1182988183 13012870013