Search a number
-
+
131133310113 = 3138773833971
BaseRepresentation
bin111101000100000100…
…1111000010010100001
3110112110220110100211110
41322020021320102201
54122030111410423
6140124121533533
712321414513321
oct1721011702241
9415426410743
10131133310113
1150682375863
12214b83442a9
13c49a919030
1464bdbd9281
1536275c9193
hex1e882784a1

131133310113 has 16 divisors (see below), whose sum is σ = 188508735296. Its totient is φ = 80605385280.

The previous prime is 131133310093. The next prime is 131133310153. The reversal of 131133310113 is 311013331131.

It is not a de Polignac number, because 131133310113 - 210 = 131133309089 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131133310113.

It is not an unprimeable number, because it can be changed into a prime (131133310153) 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, 1882783 + ... + 1951188.

It is an arithmetic number, because the mean of its divisors is an integer number (11781795956).

Almost surely, 2131133310113 is an apocalyptic number.

131133310113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131133310113 is a deficient number, since it is larger than the sum of its proper divisors (57375425183).

131133310113 is a wasteful number, since it uses less digits than its factorization.

131133310113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834864.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 131133310113 its reverse (311013331131), we get a palindrome (442146641244).

The spelling of 131133310113 in words is "one hundred thirty-one billion, one hundred thirty-three million, three hundred ten thousand, one hundred thirteen".

Divisors: 1 3 13 39 877 2631 11401 34203 3833971 11501913 49841623 149524869 3362392567 10087177701 43711103371 131133310113