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131213021033331 = 334859741519753
BaseRepresentation
bin11101110101011001101001…
…100000100011001101110011
3122012120211202001002102112000
4131311121221200203031303
5114144243231341031311
61143022232452305043
736431553660314016
oct3565315140431563
9565524661072460
10131213021033331
1138899147725396
1212871b67312183
13582a4476c7433
142458a5bb6937d
15102824248d056
hex775669823373

131213021033331 has 8 divisors (see below), whose sum is σ = 194389660790160. Its totient is φ = 87475347355536.

The previous prime is 131213021033279. The next prime is 131213021033351. The reversal of 131213021033331 is 133330120312131.

131213021033331 is a `hidden beast` number, since 1 + 3 + 1 + 21 + 302 + 1 + 0 + 3 + 3 + 331 = 666.

It is not a de Polignac number, because 131213021033331 - 211 = 131213021031283 is a prime.

It is a super-2 number, since 2×1312130210333312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4859741519753 = 131213021033331 / (1 + 3 + 1 + 2 + 1 + 3 + 0 + 2 + 1 + 0 + 3 + 3 + 3 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 131213021033295 and 131213021033304.

It is not an unprimeable number, because it can be changed into a prime (131213021033351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2429870759850 + ... + 2429870759903.

It is an arithmetic number, because the mean of its divisors is an integer number (24298707598770).

Almost surely, 2131213021033331 is an apocalyptic number.

131213021033331 is a deficient number, since it is larger than the sum of its proper divisors (63176639756829).

131213021033331 is an equidigital number, since it uses as much as digits as its factorization.

131213021033331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859741519762 (or 4859741519756 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131213021033331 its reverse (133330120312131), we get a palindrome (264543141345462).

The spelling of 131213021033331 in words is "one hundred thirty-one trillion, two hundred thirteen billion, twenty-one million, thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 27 4859741519753 14579224559259 43737673677777 131213021033331