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13100322312131 = 71921892001449
BaseRepresentation
bin1011111010100010100000…
…0011101100111111000011
31201101101012222122000122112
42332220220003230333003
53204113430002442011
643510112135525535
72521316125235405
oct276505003547703
951341188560575
1013100322312131
1141a08a746975a
121576b1b5298ab
137404801a85a2
143340b7bc6b75
1517ab81d3b58b
hexbea280ecfc3

13100322312131 has 8 divisors (see below), whose sum is σ = 13284984636000. Its totient is φ = 12915664175680.

The previous prime is 13100322312097. The next prime is 13100322312227. The reversal of 13100322312131 is 13121322300131.

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-13100322312131 is a prime.

It is a super-2 number, since 2×131003223121312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13100322312097 and 13100322312106.

It is not an unprimeable number, because it can be changed into a prime (13100322312631) 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, 5544695 + ... + 7546143.

It is an arithmetic number, because the mean of its divisors is an integer number (1660623079500).

Almost surely, 213100322312131 is an apocalyptic number.

13100322312131 is a deficient number, since it is larger than the sum of its proper divisors (184662323869).

13100322312131 is an equidigital number, since it uses as much as digits as its factorization.

13100322312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093709.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13100322312131 its reverse (13121322300131), we get a palindrome (26221644612262).

The spelling of 13100322312131 in words is "thirteen trillion, one hundred billion, three hundred twenty-two million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 71 92189 2001449 6545419 142102879 184511581861 13100322312131