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13258914075131 = 151833111053971
BaseRepresentation
bin1100000011110001010011…
…0111010001000111111011
31201221112120112000022122112
43000330110313101013323
53214213224000401011
644111021103442535
72535632152051364
oct300742467210773
951845515008575
1013258914075131
11425208a37758a
1215a17bb5b644b
1375240577147a
1433ba40682b6b
1517ed64d5858b
hexc0f14dd11fb

13258914075131 has 8 divisors (see below), whose sum is σ = 13346894320128. Its totient is φ = 13170936105000.

The previous prime is 13258914075107. The next prime is 13258914075137. The reversal of 13258914075131 is 13157041985231.

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

It is a cyclic number.

It is not a de Polignac number, because 13258914075131 - 218 = 13258913812987 is a prime.

It is a super-3 number, since 3×132589140751313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13258914075131.

It is not an unprimeable number, because it can be changed into a prime (13258914075137) 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, 12052976 + ... + 13106946.

It is an arithmetic number, because the mean of its divisors is an integer number (1668361790016).

Almost surely, 213258914075131 is an apocalyptic number.

13258914075131 is a deficient number, since it is larger than the sum of its proper divisors (87980244997).

13258914075131 is a wasteful number, since it uses less digits than its factorization.

13258914075131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137433.

The product of its (nonzero) digits is 907200, while the sum is 50.

The spelling of 13258914075131 in words is "thirteen trillion, two hundred fifty-eight billion, nine hundred fourteen million, seventy-five thousand, one hundred thirty-one".

Divisors: 1 151 83311 1053971 12579961 159149621 87807377981 13258914075131