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131376135033 = 36111323157349
BaseRepresentation
bin111101001011010100…
…0001011101101111001
3110120002211101011000000
41322112220023231321
54123024242310113
6140204154303213
712330423502563
oct1722650135571
9416084334000
10131376135033
1150797448810
1221565727b09
13c509018910
146504168333
15363da92373
hex1e96a0bb79

131376135033 has 224 divisors, whose sum is σ = 243705772800. Its totient is φ = 69653675520.

The previous prime is 131376135019. The next prime is 131376135041. The reversal of 131376135033 is 330531673131.

131376135033 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 7 + 613 + 5 + 0 + 33 = 666.

It is not a de Polignac number, because 131376135033 - 28 = 131376134777 is a prime.

It is a super-2 number, since 2×1313761350332 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131376135073) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 376435743 + ... + 376436091.

It is an arithmetic number, because the mean of its divisors is an integer number (1087972200).

Almost surely, 2131376135033 is an apocalyptic number.

131376135033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131376135033 is a deficient number, since it is larger than the sum of its proper divisors (112329637767).

131376135033 is a wasteful number, since it uses less digits than its factorization.

131376135033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The spelling of 131376135033 in words is "one hundred thirty-one billion, three hundred seventy-six million, one hundred thirty-five thousand, thirty-three".