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131331132033 = 389495199349
BaseRepresentation
bin111101001001111110…
…0100000101010000001
3110112222200200202111020
41322103330200222001
54122431232211113
6140155505540053
712326336126523
oct1722374405201
9415880622436
10131331132033
1150774000352
1221552644629
13c4cc8bcb1a
1464dc1b1a13
153639b53023
hex1e93f20a81

131331132033 has 16 divisors (see below), whose sum is σ = 177113232000. Its totient is φ = 86551977600.

The previous prime is 131331132013. The next prime is 131331132041. The reversal of 131331132033 is 330231133131.

It is not a de Polignac number, because 131331132033 - 28 = 131331131777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131331131994 and 131331132012.

It is not an unprimeable number, because it can be changed into a prime (131331132013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1272243 + ... + 1371591.

It is an arithmetic number, because the mean of its divisors is an integer number (11069577000).

Almost surely, 2131331132033 is an apocalyptic number.

It is an amenable number.

131331132033 is a deficient number, since it is larger than the sum of its proper divisors (45782099967).

131331132033 is an equidigital number, since it uses as much as digits as its factorization.

131331132033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104392.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 131331132033 its reverse (330231133131), we get a palindrome (461562265164).

The spelling of 131331132033 in words is "one hundred thirty-one billion, three hundred thirty-one million, one hundred thirty-two thousand, thirty-three".

Divisors: 1 3 89 267 4951 14853 99349 298047 440639 1321917 8842061 26526183 491876899 1475630697 43777044011 131331132033