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131001211133331 = 3711567104810101
BaseRepresentation
bin11101110010010100011000…
…101001111001110110010011
3122011211121000122101122211220
4131302110120221321312103
5114132310440022231311
61142341043043140123
736410345064005460
oct3562243051716623
9564747018348756
10131001211133331
1138817335543560
1212838ab4674643
135813490742866
14244c6c73d2667
1510229972e9206
hex772518a79d93

131001211133331 has 16 divisors (see below), whose sum is σ = 217768247079168. Its totient is φ = 68052577212000.

The previous prime is 131001211133269. The next prime is 131001211133339. The reversal of 131001211133331 is 133331112100131.

It is not a de Polignac number, because 131001211133331 - 213 = 131001211125139 is a prime.

It is a super-2 number, since 2×1310012111333312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131001211133339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283552404820 + ... + 283552405281.

It is an arithmetic number, because the mean of its divisors is an integer number (13610515442448).

Almost surely, 2131001211133331 is an apocalyptic number.

131001211133331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131001211133331 is a deficient number, since it is larger than the sum of its proper divisors (86767035945837).

131001211133331 is a wasteful number, since it uses less digits than its factorization.

131001211133331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567104810122.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 131001211133331 its reverse (133331112100131), we get a palindrome (264332323233462).

The spelling of 131001211133331 in words is "one hundred thirty-one trillion, one billion, two hundred eleven million, one hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 567104810101 1701314430303 3969733670707 6238152911111 11909201012121 18714458733333 43667070377777 131001211133331