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131323113030330 = 232513196196843811
BaseRepresentation
bin11101110111000000001011…
…100000001100001010111010
3122012222100220112121100001100
4131313000023200030022322
5114203044213413432310
61143145001050032230
736442532106665214
oct3567001340141272
9565870815540040
10131323113030330
11389309017a0181
121288b370a18676
135837940c95220
1424601032595b4
15102b0376a8ec0
hex77700b80c2ba

131323113030330 has 192 divisors, whose sum is σ = 393402806858880. Its totient is φ = 30122298662400.

The previous prime is 131323113030301. The next prime is 131323113030337. The reversal of 131323113030330 is 33030311323131.

131323113030330 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 23 + 1 + 1 + 303 + 0 + 330 = 666.

131323113030330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1313231130303303 (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131323113030294 and 131323113030303.

It is not an unprimeable number, because it can be changed into a prime (131323113030337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47065876 + ... + 49777935.

It is an arithmetic number, because the mean of its divisors is an integer number (2048972952390).

Almost surely, 2131323113030330 is an apocalyptic number.

131323113030330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131323113030330 is an abundant number, since it is smaller than the sum of its proper divisors (262079693828550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131323113030330 is a wasteful number, since it uses less digits than its factorization.

131323113030330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96843917 (or 96843914 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 131323113030330 its reverse (33030311323131), we get a palindrome (164353424353461).

The spelling of 131323113030330 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, one hundred thirteen million, thirty thousand, three hundred thirty".