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133131300013 = 195397214051
BaseRepresentation
bin111101111111100111…
…1100110110010101101
3110201122011000202201101
41323333033212302231
54140123103100023
6141054253443101
712422055243625
oct1737717466255
9421564022641
10133131300013
115150816a188
12219754a0491
13c72883b48a
14662d2cd885
1536e2be11ad
hex1eff3e6cad

133131300013 has 24 divisors (see below), whose sum is σ = 144279753120. Its totient is φ = 122460249600.

The previous prime is 133131299981. The next prime is 133131300017. The reversal of 133131300013 is 310003131331.

It is a happy number.

It is not a de Polignac number, because 133131300013 - 25 = 133131299981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133131300017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9467838 + ... + 9481888.

It is an arithmetic number, because the mean of its divisors is an integer number (6011656380).

Almost surely, 2133131300013 is an apocalyptic number.

It is an amenable number.

133131300013 is a deficient number, since it is larger than the sum of its proper divisors (11148453107).

133131300013 is an equidigital number, since it uses as much as digits as its factorization.

133131300013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14317 (or 14220 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 133131300013 its reverse (310003131331), we get a palindrome (443134431344).

The spelling of 133131300013 in words is "one hundred thirty-three billion, one hundred thirty-one million, three hundred thousand, thirteen".

Divisors: 1 19 53 97 1007 1843 5141 9409 14051 97679 178771 266969 498677 744703 1362947 9474863 14149357 25895993 72236191 132205859 1372487629 2511911321 7006910527 133131300013