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13131001303201 = 173173343797889
BaseRepresentation
bin1011111100010100110010…
…1010110001000010100001
31201111022102001120020200001
42333011030222301002201
53210114242313200301
643532144305100001
72523453311325145
oct277051452610241
951438361506601
1013131001303201
11420290aa02831
121580a61927601
1374332c135342
1433578849b225
1517b87a387c01
hexbf14cab10a1

13131001303201 has 8 divisors (see below), whose sum is σ = 13214524179240. Its totient is φ = 13047566026752.

The previous prime is 13131001303183. The next prime is 13131001303237. The reversal of 13131001303201 is 10230310013131.

It can be written as a sum of positive squares in 4 ways, for example, as 7713284198400 + 5417717104801 = 2777280^2 + 2327599^2 .

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 13131001303201 - 27 = 13131001303073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13131001307201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21599136 + ... + 22198753.

It is an arithmetic number, because the mean of its divisors is an integer number (1651815522405).

Almost surely, 213131001303201 is an apocalyptic number.

It is an amenable number.

13131001303201 is a deficient number, since it is larger than the sum of its proper divisors (83522876039).

13131001303201 is a wasteful number, since it uses less digits than its factorization.

13131001303201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43799795.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13131001303201 its reverse (10230310013131), we get a palindrome (23361311316332).

The spelling of 13131001303201 in words is "thirteen trillion, one hundred thirty-one billion, one million, three hundred three thousand, two hundred one".

Divisors: 1 173 1733 299809 43797889 7577034797 75901741637 13131001303201