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131303141013331 = 7197913411706757
BaseRepresentation
bin11101110110101101100101…
…000100111111011101010011
3122012220110100122201202021001
4131312231211010333131103
5114202232313044411311
61143131455200242431
736441224144436340
oct3566554504773523
9565813318652231
10131303141013331
1138923393044201
1212887518310417
135835aaa3374a1
14245d16a9797c7
15102a7691194c1
hex776b6513f753

131303141013331 has 16 divisors (see below), whose sum is σ = 150147966608640. Its totient is φ = 112480132589280.

The previous prime is 131303141013313. The next prime is 131303141013353. The reversal of 131303141013331 is 133310141303131.

It is a cyclic number.

It is not a de Polignac number, because 131303141013331 - 211 = 131303141011283 is a prime.

It is a super-2 number, since 2×1313031410133312 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131303141013331.

It is not an unprimeable number, because it can be changed into a prime (131303141010331) 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, 185429205 + ... + 186135961.

It is an arithmetic number, because the mean of its divisors is an integer number (9384247913040).

Almost surely, 2131303141013331 is an apocalyptic number.

131303141013331 is a deficient number, since it is larger than the sum of its proper divisors (18844825595309).

131303141013331 is a wasteful number, since it uses less digits than its factorization.

131303141013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722154.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 131303141013331 its reverse (133310141303131), we get a palindrome (264613282316462).

The spelling of 131303141013331 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred forty-one million, thirteen thousand, three hundred thirty-one".

Divisors: 1 7 1979 13411 13853 93877 706757 4947299 26540369 185782583 1398672103 9478318127 9790704721 66348226889 18757591573333 131303141013331