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132101201331 = 32112947996059
BaseRepresentation
bin111101100000111011…
…0000101110110110011
3110121222100201022222100
41323001312011312303
54131020401420311
6140404135111443
712354406453521
oct1730166056663
9417870638870
10132101201331
1151029758860
1221728512583
13c5c32c3428
146572589311
153682566a56
hex1ec1d85db3

132101201331 has 48 divisors (see below), whose sum is σ = 215789184000. Its totient is φ = 77138416320.

The previous prime is 132101201321. The next prime is 132101201347. The reversal of 132101201331 is 133102101231.

132101201331 is a `hidden beast` number, since 1 + 3 + 210 + 120 + 1 + 331 = 666.

It is not a de Polignac number, because 132101201331 - 27 = 132101201203 is a prime.

It is a super-2 number, since 2×1321012013312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132101201321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1327180 + ... + 1423238.

It is an arithmetic number, because the mean of its divisors is an integer number (4495608000).

Almost surely, 2132101201331 is an apocalyptic number.

132101201331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132101201331 is a deficient number, since it is larger than the sum of its proper divisors (83687982669).

132101201331 is a wasteful number, since it uses less digits than its factorization.

132101201331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96584 (or 96581 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132101201331 its reverse (133102101231), we get a palindrome (265203302562).

The spelling of 132101201331 in words is "one hundred thirty-two billion, one hundred one million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 479 957 1437 2871 4311 5269 13891 15807 41673 47421 96059 125019 152801 288177 458403 864531 1056649 1375209 2785711 3169947 8357133 9509841 25071399 30642821 46012261 91928463 138036783 275785389 414110349 506134871 1334355569 1518404613 4003066707 4555213839 12009200121 14677911259 44033733777 132101201331