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133131040240331 = 71131127914922179
BaseRepresentation
bin11110010001010011111100…
…010111001011001011001011
3122110101012111002121111022102
4132101103330113023023023
5114422204332300142311
61151051320000344015
740020254166502550
oct3621237427131313
9573335432544272
10133131040240331
1139468614550a91
1212b2183001500b
135939284645b23
1424c3810784a27
15105d09d13043b
hex7914fc5cb2cb

133131040240331 has 16 divisors (see below), whose sum is σ = 153509837644800. Its totient is φ = 113092441381248.

The previous prime is 133131040240321. The next prime is 133131040240357. The reversal of 133131040240331 is 133042040131331.

It is a de Polignac number, because none of the positive numbers 2k-133131040240331 is a prime.

It is a super-2 number, since 2×1331310402403312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133131040240294 and 133131040240303.

It is not an unprimeable number, because it can be changed into a prime (133131040240321) 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, 1460600 + ... + 16382778.

It is an arithmetic number, because the mean of its divisors is an integer number (9594364852800).

Almost surely, 2133131040240331 is an apocalyptic number.

133131040240331 is a deficient number, since it is larger than the sum of its proper divisors (20378797404469).

133131040240331 is a wasteful number, since it uses less digits than its factorization.

133131040240331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14933578.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 133131040240331 its reverse (133042040131331), we get a palindrome (266173080371662).

The spelling of 133131040240331 in words is "one hundred thirty-three trillion, one hundred thirty-one billion, forty million, two hundred forty thousand, three hundred thirty-one".

Divisors: 1 7 113 791 11279 78953 1274527 8921689 14922179 104455253 1686206227 11803443589 168307256941 1178150798587 19018720034333 133131040240331