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131332234033 = 711131271033079
BaseRepresentation
bin111101001010000000…
…0101101101100110001
3110112222202202202011001
41322110000231230301
54122432022442113
6140155545322001
712326351366410
oct1722400555461
9415882682131
10131332234033
11507746932a0
1221552a96301
13c4ccbb75b0
1464dc3bb477
153639cbe7dd
hex1e9402db31

131332234033 has 32 divisors (see below), whose sum is σ = 177722818560. Its totient is φ = 93720836160.

The previous prime is 131332234003. The next prime is 131332234063. The reversal of 131332234033 is 330432233131.

It is an interprime number because it is at equal distance from previous prime (131332234003) and next prime (131332234063).

It is not a de Polignac number, because 131332234033 - 29 = 131332233521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131332233992 and 131332234010.

It is not an unprimeable number, because it can be changed into a prime (131332234003) 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 31 ways as a sum of consecutive naturals, for example, 389413 + ... + 643666.

It is an arithmetic number, because the mean of its divisors is an integer number (5553838080).

Almost surely, 2131332234033 is an apocalyptic number.

131332234033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131332234033 is a deficient number, since it is larger than the sum of its proper divisors (46390584527).

131332234033 is a wasteful number, since it uses less digits than its factorization.

131332234033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033237.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 131332234033 its reverse (330432233131), we get a palindrome (461764467164).

The spelling of 131332234033 in words is "one hundred thirty-one billion, three hundred thirty-two million, two hundred thirty-four thousand, thirty-three".

Divisors: 1 7 11 13 77 91 127 143 889 1001 1397 1651 9779 11557 18161 127127 1033079 7231553 11363869 13430027 79547083 94010189 131201033 147730297 918407231 1034112079 1443211363 1705613429 10102479541 11939294003 18761747719 131332234033