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13112201101131 = 3211132446475769
BaseRepresentation
bin1011111011001110110000…
…0101101011111101001011
31201102111212211200000202200
42332303230011223331023
53204312241440214011
643515354555331243
72522216365255326
oct276635405537513
951374784600680
1013112201101131
1141a5942761750
121579295750b23
137416241b0c12
143348c36917bd
1517b129b17856
hexbecec16bf4b

13112201101131 has 12 divisors (see below), whose sum is σ = 20661650220120. Its totient is φ = 7946788546080.

The previous prime is 13112201101121. The next prime is 13112201101133. The reversal of 13112201101131 is 13110110221131.

13112201101131 is a `hidden beast` number, since 1 + 311 + 220 + 1 + 1 + 0 + 1 + 131 = 666.

It is not a de Polignac number, because 13112201101131 - 25 = 13112201101099 is a prime.

It is a super-2 number, since 2×131122011011312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13112201101133) 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, 66223237786 + ... + 66223237983.

It is an arithmetic number, because the mean of its divisors is an integer number (1721804185010).

Almost surely, 213112201101131 is an apocalyptic number.

13112201101131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13112201101131 is a deficient number, since it is larger than the sum of its proper divisors (7549449118989).

13112201101131 is a wasteful number, since it uses less digits than its factorization.

13112201101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132446475786 (or 132446475783 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13112201101131 its reverse (13110110221131), we get a palindrome (26222311322262).

The spelling of 13112201101131 in words is "thirteen trillion, one hundred twelve billion, two hundred one million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 132446475769 397339427307 1192018281921 1456911233459 4370733700377 13112201101131