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131331012212101 = 131912725128159359
BaseRepresentation
bin11101110111000111100010…
…010101001011010110000101
3122020000010022001022100100011
4131313013202111023112011
5114203211403111241401
61143152344544550221
736443231624634532
oct3567074225132605
9566003261270304
10131331012212101
1138934195668379
12128909b6322371
1358385cc669290
14246065239bd89
15102b34addc451
hex7771e254b585

131331012212101 has 64 divisors (see below), whose sum is σ = 151185987993600. Its totient is φ = 113084112960000.

The previous prime is 131331012212077. The next prime is 131331012212111. The reversal of 131331012212101 is 101212210133131.

It is not a de Polignac number, because 131331012212101 - 221 = 131331010114949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331012212111) 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, 2212457260 + ... + 2212516618.

It is an arithmetic number, because the mean of its divisors is an integer number (2362281062400).

Almost surely, 2131331012212101 is an apocalyptic number.

It is an amenable number.

131331012212101 is a deficient number, since it is larger than the sum of its proper divisors (19854975781499).

131331012212101 is a wasteful number, since it uses less digits than its factorization.

131331012212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60050.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 131331012212101 its reverse (101212210133131), we get a palindrome (232543222345232).

The spelling of 131331012212101 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, twelve million, two hundred twelve thousand, one hundred one".

Divisors: 1 13 19 127 247 251 281 1651 2413 3263 3653 4769 5339 31369 31877 35687 59359 61997 69407 70531 414401 463931 605663 678053 771667 916903 1127821 1340089 7538593 7873619 8814689 8957437 14661673 14899109 16679879 17421157 98001709 116446681 143233267 170191303 193688417 216838427 283083071 316917701 1862032471 1892186843 2118344633 2212486939 3680079923 4119930113 4186649629 24598428959 27538480229 35951550017 40248548027 54426445177 79546342951 467370150221 523231124351 531704502883 1034102458363 6912158537479 10102385554777 131331012212101