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13033012203133 = 135713375152021
BaseRepresentation
bin1011110110100111110000…
…0100000000111001111101
31201010221111000210012112121
42331221330010000321331
53202013102111000013
643415141054402541
72513414122606516
oct275517404007175
951127430705477
1013033012203133
1141752a66895aa
121565a75500451
13737014118320
14330b30531a0d
1517904296558d
hexbda7c100e7d

13033012203133 has 16 divisors (see below), whose sum is σ = 14060819124352. Its totient is φ = 12008817000000.

The previous prime is 13033012203089. The next prime is 13033012203173. The reversal of 13033012203133 is 33130221033031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13033012203133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13033012203098 and 13033012203107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033012203173) 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, 250507663 + ... + 250559683.

It is an arithmetic number, because the mean of its divisors is an integer number (878801195272).

Almost surely, 213033012203133 is an apocalyptic number.

13033012203133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13033012203133 is a deficient number, since it is larger than the sum of its proper divisors (1027806921219).

13033012203133 is a wasteful number, since it uses less digits than its factorization.

13033012203133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86356.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 13033012203133 its reverse (33130221033031), we get a palindrome (46163233236164).

The spelling of 13033012203133 in words is "thirteen trillion, thirty-three billion, twelve million, two hundred three thousand, one hundred thirty-three".

Divisors: 1 13 571 7423 33751 52021 438763 676273 19271821 29703991 250533673 386151883 1755760771 22824890023 1002539400241 13033012203133