Search a number
-
+
131313233322033 = 3738771612847849
BaseRepresentation
bin11101110110110110111110…
…101000000110000000110001
3122012221102102000012011010020
4131312312332220012000301
5114202414000212301113
61143140244441354053
736442032222601020
oct3566667650060061
9565842360164106
10131313233322033
11389276a19770a4
1212889474198929
135836a281a4699
14245d84708a8b7
15102ab5a15d023
hex776dbea06031

131313233322033 has 16 divisors (see below), whose sum is σ = 200147966793600. Its totient is φ = 75016779106176.

The previous prime is 131313233321911. The next prime is 131313233322043. The reversal of 131313233322033 is 330223332313131.

131313233322033 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 131313233322033 - 241 = 129114210066481 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131313233321985 and 131313233322003.

It is not an unprimeable number, because it can be changed into a prime (131313233322043) 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, 806342508 + ... + 806505341.

It is an arithmetic number, because the mean of its divisors is an integer number (12509247924600).

Almost surely, 2131313233322033 is an apocalyptic number.

It is an amenable number.

131313233322033 is a deficient number, since it is larger than the sum of its proper divisors (68834733471567).

131313233322033 is a wasteful number, since it uses less digits than its factorization.

131313233322033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612851736.

The product of its (nonzero) digits is 52488, while the sum is 33.

Adding to 131313233322033 its reverse (330223332313131), we get a palindrome (461536565635164).

The spelling of 131313233322033 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred thirty-three million, three hundred twenty-two thousand, thirty-three".

Divisors: 1 3 7 21 3877 11631 27139 81417 1612847849 4838543547 11289934943 33869804829 6253011110573 18759033331719 43771077774011 131313233322033