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131010133001 = 1119753602947
BaseRepresentation
bin111101000000011001…
…1111111110000001001
3110112011022200022121012
41322000303333300021
54121302043224001
6140104001453305
712315360520346
oct1720063776011
9415138608535
10131010133001
1150619893aa0
1221483041235
13c47b24bc77
1464ab6d37cd
15361b8972bb
hex1e80cffc09

131010133001 has 8 divisors (see below), whose sum is σ = 142927617504. Its totient is φ = 119093893920.

The previous prime is 131010132989. The next prime is 131010133003. The reversal of 131010133001 is 100331010131.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131010133001 - 26 = 131010132937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131010133003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84191 + ... + 518756.

It is an arithmetic number, because the mean of its divisors is an integer number (17865952188).

Almost surely, 2131010133001 is an apocalyptic number.

131010133001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131010133001 is a deficient number, since it is larger than the sum of its proper divisors (11917484503).

131010133001 is a wasteful number, since it uses less digits than its factorization.

131010133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622711.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 131010133001 its reverse (100331010131), we get a palindrome (231341143132).

The spelling of 131010133001 in words is "one hundred thirty-one billion, ten million, one hundred thirty-three thousand, one".

Divisors: 1 11 19753 217283 602947 6632417 11910012091 131010133001