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12331201131101 is a prime number
BaseRepresentation
bin1011001101110001010011…
…0111001111001001011101
31121122211222121102211000202
42303130110313033021131
53104013244442143401
642120513043433245
72411620442122556
oct263342467171135
947584877384022
1012331201131101
113a246a6623766
121471a52385825
136b5a9a6b2838
14308b948b132d
15165b698b906b
hexb3714dcf25d

12331201131101 has 2 divisors, whose sum is σ = 12331201131102. Its totient is φ = 12331201131100.

The previous prime is 12331201131097. The next prime is 12331201131107. The reversal of 12331201131101 is 10113110213321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6182160096025 + 6149041035076 = 2486395^2 + 2479726^2 .

It is a cyclic number.

It is not a de Polignac number, because 12331201131101 - 22 = 12331201131097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12331201131107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6165600565550 + 6165600565551.

It is an arithmetic number, because the mean of its divisors is an integer number (6165600565551).

Almost surely, 212331201131101 is an apocalyptic number.

It is an amenable number.

12331201131101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12331201131101 is an equidigital number, since it uses as much as digits as its factorization.

12331201131101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 12331201131101 its reverse (10113110213321), we get a palindrome (22444311344422).

The spelling of 12331201131101 in words is "twelve trillion, three hundred thirty-one billion, two hundred one million, one hundred thirty-one thousand, one hundred one".