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13112121001331 = 11191753285112553
BaseRepresentation
bin1011111011001110011101…
…0100001000010101110011
31201102111200020221112111102
42332303213110020111303
53204312110434020311
643515343014435015
72522214403365242
oct276634724102563
951374606845442
1013112121001331
1141a5901522570
121579272962a6b
137416107172a1
143348b6ba0959
1517b122a9443b
hexbece7508573

13112121001331 has 32 divisors (see below), whose sum is σ = 15072055207680. Its totient is φ = 11281436352000.

The previous prime is 13112121001283. The next prime is 13112121001391. The reversal of 13112121001331 is 13310012121131.

It is a de Polignac number, because none of the positive numbers 2k-13112121001331 is a prime.

It is a super-2 number, since 2×131121210013312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13112121001391) 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, 1044534551 + ... + 1044547103.

It is an arithmetic number, because the mean of its divisors is an integer number (471001725240).

Almost surely, 213112121001331 is an apocalyptic number.

13112121001331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13112121001331 is a deficient number, since it is larger than the sum of its proper divisors (1959934206349).

13112121001331 is a wasteful number, since it uses less digits than its factorization.

13112121001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17187.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 13112121001331 its reverse (13310012121131), we get a palindrome (26422133122462).

The spelling of 13112121001331 in words is "thirteen trillion, one hundred twelve billion, one hundred twenty-one million, one thousand, three hundred thirty-one".

Divisors: 1 11 19 209 1753 2851 12553 19283 31361 33307 54169 138083 238507 366377 595859 2623577 4997803 22005409 35788603 54975833 94958257 242059499 393674633 418102771 679983457 1044540827 4599130481 7479818027 62737421059 690111631649 1192011000121 13112121001331