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131230113013 = 735209345109
BaseRepresentation
bin111101000110111101…
…1001001110011110101
3110112201122121110110001
41322031323021303311
54122224402104023
6140141500431301
712324001361446
oct1721573116365
9415648543401
10131230113013
1150721a8325a
1221524848531
13c4b49b055c
1464cc9d72cd
153630d4b6ad
hex1e8dec9cf5

131230113013 has 8 divisors (see below), whose sum is σ = 133053709400. Its totient is φ = 129407217408.

The previous prime is 131230112963. The next prime is 131230113023. The reversal of 131230113013 is 310311032131.

It can be written as a sum of positive squares in 4 ways, for example, as 88433674884 + 42796438129 = 297378^2 + 206873^2 .

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 131230113013 - 217 = 131229981941 is a prime.

It is a super-2 number, since 2×1312301130132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131230113023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207703 + ... + 552811.

It is an arithmetic number, because the mean of its divisors is an integer number (16631713675).

Almost surely, 2131230113013 is an apocalyptic number.

It is an amenable number.

131230113013 is a deficient number, since it is larger than the sum of its proper divisors (1823596387).

131230113013 is an equidigital number, since it uses as much as digits as its factorization.

131230113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350391.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131230113013 its reverse (310311032131), we get a palindrome (441541145144).

The spelling of 131230113013 in words is "one hundred thirty-one billion, two hundred thirty million, one hundred thirteen thousand, thirteen".

Divisors: 1 73 5209 345109 380257 25192957 1797672781 131230113013