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131303133023231 = 13194122956618557
BaseRepresentation
bin11101110110101101100100…
…100110100000101111111111
3122012220110100002200210220102
4131312231210212200233333
5114202232304023220411
61143131454313111315
736441224016510521
oct3566554446405777
9565813302623812
10131303133023231
1138923389587114
12128875156b853b
135835aa879a710
14245d169899a11
15102a76858bd3b
hex776b649a0bff

131303133023231 has 32 divisors (see below), whose sum is σ = 153141875678400. Its totient is φ = 111534025835520.

The previous prime is 131303133023147. The next prime is 131303133023239. The reversal of 131303133023231 is 132320331303131.

It is not a de Polignac number, because 131303133023231 - 246 = 60934388845567 is a prime.

It is a super-2 number, since 2×1313031330232312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131303133023194 and 131303133023203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303133023239) 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 31 ways as a sum of consecutive naturals, for example, 25990196 + ... + 30628361.

It is an arithmetic number, because the mean of its divisors is an integer number (4785683614950).

Almost surely, 2131303133023231 is an apocalyptic number.

131303133023231 is a deficient number, since it is larger than the sum of its proper divisors (21838742655169).

131303133023231 is a wasteful number, since it uses less digits than its factorization.

131303133023231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56618859.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 131303133023231 its reverse (132320331303131), we get a palindrome (263623464326362).

The spelling of 131303133023231 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred thirty-three million, twenty-three thousand, two hundred thirty-one".

Divisors: 1 13 19 41 229 247 533 779 2977 4351 9389 10127 56563 122057 178391 2319083 56618557 736041241 1075752583 2321360837 12965649553 13984783579 30177690881 44105855903 168553444189 246347341507 531591631673 573376126739 3202515439591 6910691211749 10100241001787 131303133023231