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131311421310201 = 31119997210058279
BaseRepresentation
bin11101110110110101010010…
…100111110100010011111001
3122012221020201201120102011220
4131312311102213310103321
5114202401242323411301
61143135344551542253
736441636301004466
oct3566652247642371
9565836651512156
10131311421310201
1138926952058860
121288904938a989
1358367c996a132
14245d71456866d
15102aaa1030936
hex776d529f44f9

131311421310201 has 32 divisors (see below), whose sum is σ = 201252636902400. Its totient is φ = 75318496159680.

The previous prime is 131311421310187. The next prime is 131311421310221. The reversal of 131311421310201 is 102013124113131.

It is not a de Polignac number, because 131311421310201 - 217 = 131311421179129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131311421310221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104404021 + ... + 105654258.

It is an arithmetic number, because the mean of its divisors is an integer number (6289144903200).

Almost surely, 2131311421310201 is an apocalyptic number.

131311421310201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131311421310201 is a deficient number, since it is larger than the sum of its proper divisors (69941215592199).

131311421310201 is a wasteful number, since it uses less digits than its factorization.

131311421310201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210059309.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 131311421310201 its reverse (102013124113131), we get a palindrome (233324545423332).

The spelling of 131311421310201 in words is "one hundred thirty-one trillion, three hundred eleven billion, four hundred twenty-one million, three hundred ten thousand, two hundred one".

Divisors: 1 3 11 19 33 57 209 627 997 2991 10967 18943 32901 56829 208373 625119 210058279 630174837 2310641069 3991107301 6931923207 11973321903 43902180311 131706540933 209428104163 628284312489 2303709145793 3979133979097 6911127437379 11937401937291 43770473770067 131311421310201