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131211221101331 = 7122631528537891
BaseRepresentation
bin11101110101010111111110…
…001110010110101100010011
3122012120200002121012101222212
4131311113332032112230103
5114144231040100220311
61143021334113422335
736431461243201610
oct3565277616265423
9565520077171885
10131211221101331
1138898403707888
121287174456a9ab
13582a21b82c307
14245892aaad507
151028189449c8b
hex7755fe396b13

131211221101331 has 8 divisors (see below), whose sum is σ = 149967909659904. Its totient is φ = 112457589643080.

The previous prime is 131211221101321. The next prime is 131211221101351. The reversal of 131211221101331 is 133101122112131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131211221101331 - 242 = 126813174590227 is a prime.

It is a super-2 number, since 2×1312112211013312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131211221101297 and 131211221101306.

It is not an unprimeable number, because it can be changed into a prime (131211221101321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 764183105 + ... + 764354786.

It is an arithmetic number, because the mean of its divisors is an integer number (18745988707488).

Almost surely, 2131211221101331 is an apocalyptic number.

131211221101331 is a deficient number, since it is larger than the sum of its proper divisors (18756688558573).

131211221101331 is a wasteful number, since it uses less digits than its factorization.

131211221101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528550161.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 131211221101331 its reverse (133101122112131), we get a palindrome (264312343213462).

The spelling of 131211221101331 in words is "one hundred thirty-one trillion, two hundred eleven billion, two hundred twenty-one million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 7 12263 85841 1528537891 10699765237 18744460157333 131211221101331