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13112433421131 = 31137711271190983
BaseRepresentation
bin1011111011001111100111…
…1011111010101101001011
31201102112111000211002220010
42332303321323322231023
53204313230423434011
643515434015003003
72522225216043162
oct276637173725513
951375430732803
1013112433421131
1141a5a5190a150
12157933b509463
13741660373185
143349064883d9
1517b1402081a6
hexbecf9efab4b

13112433421131 has 64 divisors (see below), whose sum is σ = 20020421984256. Its totient is φ = 7563212092800.

The previous prime is 13112433421123. The next prime is 13112433421159.

It is a happy number.

13112433421131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13112433421131 - 23 = 13112433421123 is a prime.

It is a super-2 number, since 2×131124334211312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13112433421121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10414266 + ... + 11605248.

It is an arithmetic number, because the mean of its divisors is an integer number (312819093504).

Almost surely, 213112433421131 is an apocalyptic number.

13112433421131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13112433421131 is a deficient number, since it is larger than the sum of its proper divisors (6907988563125).

13112433421131 is a wasteful number, since it uses less digits than its factorization.

13112433421131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191232.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 1311243 and 3421131, that added together give a palindrome (4732374).

The spelling of 13112433421131 in words is "thirteen trillion, one hundred twelve billion, four hundred thirty-three million, four hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 11 33 37 71 111 127 213 381 407 781 1221 1397 2343 2627 4191 4699 7881 9017 14097 27051 28897 51689 86691 99187 155067 297561 333629 1000887 1190983 3572949 3669919 11009757 13100813 39302439 44066371 84559793 132199113 151254841 253679379 453764523 484730081 930157723 1454190243 1663803251 2790473169 3128712341 4991409753 5596429117 9386137023 10739093711 16789287351 32217281133 34415835751 61560720287 103247507253 118130030821 184682160861 354390092463 397346467307 1192039401921 4370811140377 13112433421131