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1131330013121 = 71147312608459
BaseRepresentation
bin10000011101101000100…
…001100000011111000001
311000011011100000100010002
4100131220201200133001
5122013430440404441
62223420440245345
7144510261305450
oct20355041403701
94004140010102
101131330013121
113a6881331620
12163314170855
13828b7886289
143ca84406b97
151e666247b9b
hex107688607c1

1131330013121 has 16 divisors (see below), whose sum is σ = 1440499783680. Its totient is φ = 862799344080.

The previous prime is 1131330013103. The next prime is 1131330013141. The reversal of 1131330013121 is 1213100331311.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1131330013121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1131330013093 and 1131330013102.

It is not an unprimeable number, because it can be changed into a prime (1131330013141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156300611 + ... + 156307848.

It is an arithmetic number, because the mean of its divisors is an integer number (90031236480).

Almost surely, 21131330013121 is an apocalyptic number.

1131330013121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1131330013121 is a deficient number, since it is larger than the sum of its proper divisors (309169770559).

1131330013121 is a wasteful number, since it uses less digits than its factorization.

1131330013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312608524.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1131330013121 its reverse (1213100331311), we get a palindrome (2344430344432).

The spelling of 1131330013121 in words is "one trillion, one hundred thirty-one billion, three hundred thirty million, thirteen thousand, one hundred twenty-one".

Divisors: 1 7 11 47 77 329 517 3619 312608459 2188259213 3438693049 14692597573 24070851343 102848183011 161618573303 1131330013121