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131313300130303 = 1675711377070379
BaseRepresentation
bin11101110110110111000010…
…100110111100100111111111
3122012221102120122220100211121
4131312313002212330213333
5114202414114313132203
61143140255225331411
736442033663502224
oct3566670246744777
9565842518810747
10131313300130303
1138927726658145
1212889492636b67
135836a38c964c5
14245d851cbb94b
15102ab60e580bd
hex776dc29bc9ff

131313300130303 has 8 divisors (see below), whose sum is σ = 132330955236480. Its totient is φ = 130298399166360.

The previous prime is 131313300130277. The next prime is 131313300130387. The reversal of 131313300130303 is 303031003313131.

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-131313300130303 is a prime.

It is a super-2 number, since 2×1313133001303032 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313300131303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688439833 + ... + 688630546.

It is an arithmetic number, because the mean of its divisors is an integer number (16541369404560).

Almost surely, 2131313300130303 is an apocalyptic number.

131313300130303 is a deficient number, since it is larger than the sum of its proper divisors (1017655106177).

131313300130303 is a wasteful number, since it uses less digits than its factorization.

131313300130303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377071117.

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 131313300130303 its reverse (303031003313131), we get a palindrome (434344303443434).

The spelling of 131313300130303 in words is "one hundred thirty-one trillion, three hundred thirteen billion, three hundred million, one hundred thirty thousand, three hundred three".

Divisors: 1 167 571 95357 1377070379 229970753293 786307186409 131313300130303