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1130313122133 = 31379790740093
BaseRepresentation
bin10000011100101011111…
…010011000000101010101
311000001112110112220220220
4100130223322120011111
5122004340124402013
62223131512544553
7144443133004626
oct20345372300525
94001473486826
101130313122133
113a63aa321348
1216308b6b2159
1382784cb3b30
143c9c933da4d
151e606d2bb23
hex1072be98155

1130313122133 has 32 divisors (see below), whose sum is σ = 1626882370176. Its totient is φ = 693921316608.

The previous prime is 1130313122129. The next prime is 1130313122221. The reversal of 1130313122133 is 3312213130311.

It is not a de Polignac number, because 1130313122133 - 22 = 1130313122129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130313122233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28172235 + ... + 28212327.

It is an arithmetic number, because the mean of its divisors is an integer number (50840074068).

Almost surely, 21130313122133 is an apocalyptic number.

1130313122133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1130313122133 is a deficient number, since it is larger than the sum of its proper divisors (496569248043).

1130313122133 is a wasteful number, since it uses less digits than its factorization.

1130313122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41813.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1130313122133 its reverse (3312213130311), we get a palindrome (4442526252444).

The spelling of 1130313122133 in words is "one trillion, one hundred thirty billion, three hundred thirteen million, one hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 13 39 797 907 2391 2721 10361 11791 31083 35373 40093 120279 521209 722879 1563627 2168637 9397427 28192281 31954121 36364351 95862363 109093053 415403573 472736563 1246210719 1418209689 28982387747 86947163241 376771040711 1130313122133