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12131321121010 = 2571320116629101
BaseRepresentation
bin1011000010001000101100…
…0101100000100011110010
31120221202001121221020202001
42300202023011200203302
53042224421201333020
641445015121244214
72361313306065430
oct260421305404362
946852047836661
1012131321121010
113957956567783
12143b16aa9366a
1369cc951b5b10
142dd232705d50
1516086bc4750a
hexb088b1608f2

12131321121010 has 64 divisors (see below), whose sum is σ = 26888910499584. Its totient is φ = 3837453408000.

The previous prime is 12131321121001. The next prime is 12131321121019. The reversal of 12131321121010 is 1012112313121.

It is an interprime number because it is at equal distance from previous prime (12131321121001) and next prime (12131321121019).

It is not an unprimeable number, because it can be changed into a prime (12131321121019) 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, 1484541 + ... + 5144560.

It is an arithmetic number, because the mean of its divisors is an integer number (420139226556).

Almost surely, 212131321121010 is an apocalyptic number.

12131321121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12131321121010 is an abundant number, since it is smaller than the sum of its proper divisors (14757589378574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12131321121010 is a wasteful number, since it uses less digits than its factorization.

12131321121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6631139.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 12131321121010 its reverse (1012112313121), we get a palindrome (13143433434131).

The spelling of 12131321121010 in words is "twelve trillion, one hundred thirty-one billion, three hundred twenty-one million, one hundred twenty-one thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 2011 4022 10055 14077 20110 26143 28154 52286 70385 130715 140770 183001 261430 366002 915005 1830010 6629101 13258202 33145505 46403707 66291010 86178313 92807414 172356626 232018535 430891565 464037070 603248191 861783130 1206496382 3016240955 6032481910 13331122111 26662244222 66655610555 93317854777 133311221110 173304587443 186635709554 346609174886 466589273885 866522937215 933178547770 1213132112101 1733045874430 2426264224202 6065660560505 12131321121010