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13023013131011 = 1353157234151427
BaseRepresentation
bin1011110110000010100000…
…0100100101001100000011
31201002222200011202201020002
42331200220010211030003
53201332112330143021
643410404543510215
72512611256110662
oct275405004451403
951088604681202
1013023013131011
114171035448734
121563b448b836b
137360ac6942c0
14330462570dd9
15178b59bdc50b
hexbd828125303

13023013131011 has 32 divisors (see below), whose sum is σ = 14386839824448. Its totient is φ = 11714069352960.

The previous prime is 13023013130989. The next prime is 13023013131013. The reversal of 13023013131011 is 11013131032031.

It is not a de Polignac number, because 13023013131011 - 26 = 13023013130947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13023013131013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253207280 + ... + 253258706.

It is an arithmetic number, because the mean of its divisors is an integer number (449588744514).

Almost surely, 213023013131011 is an apocalyptic number.

13023013131011 is a deficient number, since it is larger than the sum of its proper divisors (1363826693437).

13023013131011 is a wasteful number, since it uses less digits than its factorization.

13023013131011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53991.

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

Adding to 13023013131011 its reverse (11013131032031), we get a palindrome (24036144163042).

The spelling of 13023013131011 in words is "thirteen trillion, twenty-three billion, thirteen million, one hundred thirty-one thousand, eleven".

Divisors: 1 13 53 157 689 2041 2341 8321 30433 51427 108173 124073 367537 668551 1612949 2725631 4777981 8074039 19479461 35433203 104962507 120390607 253232993 427924067 1565077891 5563012871 6380702171 18901325299 82949128223 245717228887 1001770240847 13023013131011