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1320101310011 = 115315711441327
BaseRepresentation
bin10011001101011100001…
…010110110111000111011
311200012102010111210200112
4103031130022312320323
5133112031413410021
62450240212254535
7164242224664631
oct23153412667073
94605363453615
101320101310011
114699408579a0
12193a1731144b
139763c783c13
1447c710c3351
1524513a03d5b
hex1335c2b6e3b

1320101310011 has 16 divisors (see below), whose sum is σ = 1468217415168. Its totient is φ = 1176698546400.

The previous prime is 1320101309963. The next prime is 1320101310091. The reversal of 1320101310011 is 1100131010231.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1320101310011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1320101310091) 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 15 ways as a sum of consecutive naturals, for example, 195230 + ... + 1636556.

It is an arithmetic number, because the mean of its divisors is an integer number (91763588448).

Almost surely, 21320101310011 is an apocalyptic number.

1320101310011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1320101310011 is a deficient number, since it is larger than the sum of its proper divisors (148116105157).

1320101310011 is a wasteful number, since it uses less digits than its factorization.

1320101310011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442962.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1320101310011 its reverse (1100131010231), we get a palindrome (2420232320242).

The spelling of 1320101310011 in words is "one trillion, three hundred twenty billion, one hundred one million, three hundred ten thousand, eleven".

Divisors: 1 11 53 583 1571 17281 83263 915893 1441327 15854597 76390331 840293641 2264324717 24907571887 120009210001 1320101310011