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131033333013 = 31128314030767
BaseRepresentation
bin111101000001000110…
…0011111110100010101
3110112012221100000000220
41322002030133310111
54121324013124023
6140110151024553
712316061645022
oct1720214376425
9415187300026
10131033333013
115063099a560
122148a96b159
13c482cb2a9b
1464b0812549
15361d92b3e3
hex1e8231fd15

131033333013 has 16 divisors (see below), whose sum is σ = 191267429376. Its totient is φ = 79133520240.

The previous prime is 131033332999. The next prime is 131033333029. The reversal of 131033333013 is 310333330131.

It is not a de Polignac number, because 131033333013 - 29 = 131033332501 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131033333213) 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, 7006045 + ... + 7024722.

It is an arithmetic number, because the mean of its divisors is an integer number (11954214336).

Almost surely, 2131033333013 is an apocalyptic number.

It is an amenable number.

131033333013 is a deficient number, since it is larger than the sum of its proper divisors (60234096363).

131033333013 is a wasteful number, since it uses less digits than its factorization.

131033333013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14031064.

The product of its (nonzero) digits is 2187, while the sum is 24.

Adding to 131033333013 its reverse (310333330131), we get a palindrome (441366663144).

The spelling of 131033333013 in words is "one hundred thirty-one billion, thirty-three million, three hundred thirty-three thousand, thirteen".

Divisors: 1 3 11 33 283 849 3113 9339 14030767 42092301 154338437 463015311 3970707061 11912121183 43677777671 131033333013