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132131101331001 = 317412291201229759
BaseRepresentation
bin11110000010110000101011…
…010110111100111000111001
3122022211121110122010210110210
4132002300223112330320321
5114304313443420043001
61145004105011301333
736555104603142453
oct3602605326747071
9568747418123423
10132131101331001
1139112538061453
121299ba865aa849
135895ba8c19816
14248b2724c12d3
151042076e34dd6
hex782c2b5bce39

132131101331001 has 64 divisors (see below), whose sum is σ = 192082815590400. Its totient is φ = 80463089664000.

The previous prime is 132131101330981. The next prime is 132131101331011. The reversal of 132131101331001 is 100133101131231.

It is not a de Polignac number, because 132131101331001 - 227 = 132130967113273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132131101331011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 574970760 + ... + 575200518.

It is an arithmetic number, because the mean of its divisors is an integer number (3001293993600).

Almost surely, 2132131101331001 is an apocalyptic number.

It is an amenable number.

132131101331001 is a deficient number, since it is larger than the sum of its proper divisors (59951714259399).

132131101331001 is a wasteful number, since it uses less digits than its factorization.

132131101331001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231250.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 132131101331001 its reverse (100133101131231), we get a palindrome (232264202462232).

The spelling of 132131101331001 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, one hundred one million, three hundred thirty-one thousand, one".

Divisors: 1 3 17 41 51 123 229 687 697 1201 2091 3603 3893 9389 11679 20417 28167 49241 61251 147723 159613 229759 275029 478839 689277 825087 837097 2511291 3905903 4675493 9420119 11276189 11717709 14026479 28260357 33828567 52614811 157844433 160142023 191695213 275940559 480426069 575085639 827821677 894451787 2157207251 2683355361 4690989503 6471621753 11313562919 14072968509 33940688757 36672523267 63190388011 110017569801 189571164033 192330569623 576991708869 1074236596187 2590805908451 3222709788561 7772417725353 44043700443667 132131101331001