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131131133123331 = 31167277214110173
BaseRepresentation
bin11101110100001101011000…
…100110111101101100000011
3122012022000101010112120212110
4131310031120212331230003
5114141423030034421311
61142520451054230403
736422624502465435
oct3564153046755403
9565260333476773
10131131133123331
1138867446080610
121285a1131b5403
1358227c7402a13
142454ad0392655
15102604d39d8a6
hex7743589bdb03

131131133123331 has 32 divisors (see below), whose sum is σ = 194281859006208. Its totient is φ = 78004617863040.

The previous prime is 131131133123327. The next prime is 131131133123381. The reversal of 131131133123331 is 133321331131131.

It is not a de Polignac number, because 131131133123331 - 22 = 131131133123327 is a prime.

It is a super-2 number, since 2×1311311331233312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131131133123381) 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, 106442640 + ... + 107667533.

It is an arithmetic number, because the mean of its divisors is an integer number (6071308093944).

Almost surely, 2131131133123331 is an apocalyptic number.

131131133123331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131131133123331 is a deficient number, since it is larger than the sum of its proper divisors (63150725882877).

131131133123331 is a wasteful number, since it uses less digits than its factorization.

131131133123331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214110531.

The product of its digits is 4374, while the sum is 30.

Adding to 131131133123331 its reverse (133321331131131), we get a palindrome (264452464254462).

The spelling of 131131133123331 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, one hundred thirty-three million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 11 33 67 201 277 737 831 2211 3047 9141 18559 55677 204149 612447 214110173 642330519 2355211903 7065635709 14345381591 43036144773 59308517921 157799197501 177925553763 473397592503 652393697131 1957181091393 3973670700707 11921012102121 43710377707777 131131133123331