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13412012101131 = 374380114581111
BaseRepresentation
bin1100001100101011101000…
…1101111000111000001011
31202111011202011221212020210
43003022322031320320023
53224220300044214011
644305220541452203
72552662106566410
oct303127215707013
952434664855223
1013412012101131
1143010031a94a6
121607407871063
13763993b072b7
14345205676107
15183d258e16a6
hexc32ba378e0b

13412012101131 has 16 divisors (see below), whose sum is σ = 20437819770368. Its totient is φ = 7663831416000.

The previous prime is 13412012101099. The next prime is 13412012101207. The reversal of 13412012101131 is 13110121021431.

It is a happy number.

13412012101131 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 13412012101131 - 25 = 13412012101099 is a prime.

It is a super-2 number, since 2×134120121011312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13412012101098 and 13412012101107.

It is not an unprimeable number, because it can be changed into a prime (13412010101131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6370735 + ... + 8210376.

It is an arithmetic number, because the mean of its divisors is an integer number (1277363735648).

Almost surely, 213412012101131 is an apocalyptic number.

13412012101131 is a deficient number, since it is larger than the sum of its proper divisors (7025807669237).

13412012101131 is a wasteful number, since it uses less digits than its factorization.

13412012101131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14624922.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 13412012101131 its reverse (13110121021431), we get a palindrome (26522133122562).

The spelling of 13412012101131 in words is "thirteen trillion, four hundred twelve billion, twelve million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 3 7 21 43801 131403 306607 919821 14581111 43743333 102067777 306203331 638667242911 1916001728733 4470670700377 13412012101131