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13330012131 = 3759103307
BaseRepresentation
bin11000110101000011…
…11101011111100011
31021101222202210000000
430122201331133203
5204244440342011
610042420231043
7651221143062
oct143241753743
937358683000
1013330012131
115720498457
12270023b483
13134587a157
149065121d9
155303dd356
hex31a87d7e3

13330012131 has 32 divisors (see below), whose sum is σ = 20331014400. Its totient is φ = 8735968584.

The previous prime is 13330012123. The next prime is 13330012133. The reversal of 13330012131 is 13121003331.

It is a happy number.

It is not a de Polignac number, because 13330012131 - 23 = 13330012123 is a prime.

It is a super-2 number, since 2×133300121312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13330012133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77380 + ... + 180686.

It is an arithmetic number, because the mean of its divisors is an integer number (635344200).

Almost surely, 213330012131 is an apocalyptic number.

13330012131 is a deficient number, since it is larger than the sum of its proper divisors (7001002269).

13330012131 is an frugal number, since it uses more digits than its factorization.

13330012131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103387 (or 103369 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13330012131 its reverse (13121003331), we get a palindrome (26451015462).

The spelling of 13330012131 in words is "thirteen billion, three hundred thirty million, twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 27 59 81 177 243 531 729 1593 2187 4779 14337 43011 103307 129033 309921 929763 2789289 6095113 8367867 18285339 25103601 54856017 75310803 164568051 225932409 493704153 1481112459 4443337377 13330012131