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131323030333 = 1123737110457
BaseRepresentation
bin111101001001101110…
…1100110101100111101
3110112222010110011001021
41322103131212230331
54122422143432313
6140155020144141
712326210224435
oct1722335465475
9415863404037
10131323030333
115076a477430
122154b998051
13c4cb014311
1464db0a32c5
1536390a278d
hex1e93766b3d

131323030333 has 16 divisors (see below), whose sum is σ = 151538080896. Its totient is φ = 112629623040.

The previous prime is 131323030327. The next prime is 131323030357. The reversal of 131323030333 is 333030323131.

It is not a de Polignac number, because 131323030333 - 25 = 131323030301 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131323030298 and 131323030307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131323030633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3536760 + ... + 3573697.

It is an arithmetic number, because the mean of its divisors is an integer number (9471130056).

Almost surely, 2131323030333 is an apocalyptic number.

It is an amenable number.

131323030333 is a deficient number, since it is larger than the sum of its proper divisors (20215050563).

131323030333 is a wasteful number, since it uses less digits than its factorization.

131323030333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7110564.

The product of its (nonzero) digits is 4374, while the sum is 25.

Adding to 131323030333 its reverse (333030323131), we get a palindrome (464353353464).

The spelling of 131323030333 in words is "one hundred thirty-one billion, three hundred twenty-three million, thirty thousand, three hundred thirty-three".

Divisors: 1 11 23 73 253 803 1679 18469 7110457 78215027 163540511 519063361 1798945621 5709696971 11938457303 131323030333