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131021200013 = 1131411193463
BaseRepresentation
bin111101000000101111…
…0001101101010001101
3110112012002111120200112
41322001132031222031
54121312411400023
6140105035005405
712315553552604
oct1720136155215
9415162446615
10131021200013
1150625062890
1221486899865
13c4806253b2
1464acd74a3b
15361c831478
hex1e8178da8d

131021200013 has 16 divisors (see below), whose sum is σ = 147580403712. Its totient is φ = 115238646000.

The previous prime is 131021200003. The next prime is 131021200097. The reversal of 131021200013 is 310002120131.

It is a cyclic number.

It is not a de Polignac number, because 131021200013 - 26 = 131021199949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131021200003) 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 15 ways as a sum of consecutive naturals, for example, 1355120 + ... + 1448582.

It is an arithmetic number, because the mean of its divisors is an integer number (9223775232).

Almost surely, 2131021200013 is an apocalyptic number.

It is an amenable number.

131021200013 is a deficient number, since it is larger than the sum of its proper divisors (16559203699).

131021200013 is a wasteful number, since it uses less digits than its factorization.

131021200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97616.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 131021200013 its reverse (310002120131), we get a palindrome (441023320144).

The spelling of 131021200013 in words is "one hundred thirty-one billion, twenty-one million, two hundred thousand, thirteen".

Divisors: 1 11 31 341 4111 45221 93463 127441 1028093 1401851 2897353 31870883 384226393 4226490323 11911018183 131021200013