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131533311013 = 1317595173353
BaseRepresentation
bin111101001111111111…
…1110000110000100101
3110120111210010111220121
41322133333300300211
54123340011423023
6140231531201541
712334342460566
oct1723777606045
9416453114817
10131533311013
1150868141415
12215aa2a62b1
13c53275ab60
14651ada016d
15364c78cd5d
hex1e9fff0c25

131533311013 has 8 divisors (see below), whose sum is σ = 149983685208. Its totient is φ = 114273283584.

The previous prime is 131533311001. The next prime is 131533311043. The reversal of 131533311013 is 310113335131.

It can be written as a sum of positive squares in 4 ways, for example, as 41472100609 + 90061210404 = 203647^2 + 300102^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131533311013 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 (131533311043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297586456 + ... + 297586897.

It is an arithmetic number, because the mean of its divisors is an integer number (18747960651).

Almost surely, 2131533311013 is an apocalyptic number.

131533311013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131533311013 is a deficient number, since it is larger than the sum of its proper divisors (18450374195).

131533311013 is a wasteful number, since it uses less digits than its factorization.

131533311013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595173383.

The product of its (nonzero) digits is 1215, while the sum is 25.

Adding to 131533311013 its reverse (310113335131), we get a palindrome (441646646144).

The spelling of 131533311013 in words is "one hundred thirty-one billion, five hundred thirty-three million, three hundred eleven thousand, thirteen".

Divisors: 1 13 17 221 595173353 7737253589 10117947001 131533311013