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131323343323131 = 3295429152904071
BaseRepresentation
bin11101110111000000011001…
…001110101011111111111011
3122012222101111120221102101100
4131313000121032223333323
5114203100201342320011
61143145035554022443
736442540604310621
oct3567003116537773
9565871446842340
10131323343323131
1138930a0a793603
121288b415b77a23
1358379798c785b
142460125a85511
15102b04c9e8d56
hex7770193abffb

131323343323131 has 12 divisors (see below), whose sum is σ = 189691262682480. Its totient is φ = 87547977551760.

The previous prime is 131323343323103. The next prime is 131323343323163.

It is a happy number.

131323343323131 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 3 + 3 + 4 + 332 + 313 + 1 = 666.

131323343323131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131323343323131 - 25 = 131323343323099 is a prime.

It is a super-2 number, since 2×1313233433231312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131323343327131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75593175 + ... + 77310896.

It is an arithmetic number, because the mean of its divisors is an integer number (15807605223540).

Almost surely, 2131323343323131 is an apocalyptic number.

131323343323131 is a deficient number, since it is larger than the sum of its proper divisors (58367919359349).

131323343323131 is a wasteful number, since it uses less digits than its factorization.

131323343323131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152999506 (or 152999503 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

The spelling of 131323343323131 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, three hundred forty-three million, three hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 95429 286287 858861 152904071 458712213 1376136639 14591482591459 43774447774377 131323343323131