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131303111301131 = 7114736281600249
BaseRepresentation
bin11101110110101101100011…
…010011101001100000001011
3122012220110021120211012210012
4131312231203103221200023
5114202232232443114011
61143131452215342135
736441223334050010
oct3566554323514013
9565813246735705
10131303111301131
113892337829aa70
121288750a38194b
135835aa41334c3
14245d166a43707
15102a7666eaa8b
hex776b634e980b

131303111301131 has 16 divisors (see below), whose sum is σ = 167185613952000. Its totient is φ = 100137216684480.

The previous prime is 131303111301113. The next prime is 131303111301169. The reversal of 131303111301131 is 131103111303131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131303111301131 is a prime.

It is a super-2 number, since 2×1313031113011312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131303111301097 and 131303111301106.

It is not an unprimeable number, because it can be changed into a prime (131303111301181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18140796506 + ... + 18140803743.

It is an arithmetic number, because the mean of its divisors is an integer number (10449100872000).

Almost surely, 2131303111301131 is an apocalyptic number.

131303111301131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131303111301131 is a deficient number, since it is larger than the sum of its proper divisors (35882502650869).

131303111301131 is a wasteful number, since it uses less digits than its factorization.

131303111301131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36281600314.

The product of its (nonzero) digits is 243, while the sum is 23.

Adding to 131303111301131 its reverse (131103111303131), we get a palindrome (262406222604262).

The spelling of 131303111301131 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred eleven million, three hundred one thousand, one hundred thirty-one".

Divisors: 1 7 11 47 77 329 517 3619 36281600249 253971201743 399097602739 1705235211703 2793683219173 11936646481921 18757587328733 131303111301131