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131011203300131 = 7114435138363153
BaseRepresentation
bin11101110010011101101100…
…001110111111101100100011
3122011212112211000102022211202
4131302131230032333230203
5114132441421021101011
61142345414350031415
736411150515014220
oct3562355416775443
9564775730368752
10131011203300131
11388205a2898350
121283aa22aa856b
1358143c39197ab
14244cd944b6947
151022d7e65b23b
hex77276c3bfb23

131011203300131 has 16 divisors (see below), whose sum is σ = 163342330195968. Its totient is φ = 102084347472000.

The previous prime is 131011203300041. The next prime is 131011203300157. The reversal of 131011203300131 is 131003302110131.

It is a cyclic number.

It is not a de Polignac number, because 131011203300131 - 246 = 60642459122467 is a prime.

It is a super-2 number, since 2×1310112033001312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131011203300631) 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 15 ways as a sum of consecutive naturals, for example, 15766550 + ... + 22596603.

It is an arithmetic number, because the mean of its divisors is an integer number (10208895637248).

Almost surely, 2131011203300131 is an apocalyptic number.

131011203300131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131011203300131 is a deficient number, since it is larger than the sum of its proper divisors (32331126895837).

131011203300131 is a wasteful number, since it uses less digits than its factorization.

131011203300131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38407522.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 131011203300131 its reverse (131003302110131), we get a palindrome (262014505410262).

The spelling of 131011203300131 in words is "one hundred thirty-one trillion, eleven billion, two hundred three million, three hundred thousand, one hundred thirty-one".

Divisors: 1 7 11 77 44351 310457 487861 3415027 38363153 268542071 421994683 2953962781 1701444198703 11910109390921 18715886185733 131011203300131