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12001131133031 is a prime number
BaseRepresentation
bin1010111010100011101100…
…1010000111100001100111
31120111022000110111121121102
42232220323022013201213
53033111304032224111
641305124334110315
72346024134333315
oct256507312074147
946438013447542
1012001131133031
113907718723897
121419a9664b39b
13690917b51181
142d6c01d030b5
1515c29c3a613b
hexaea3b287867

12001131133031 has 2 divisors, whose sum is σ = 12001131133032. Its totient is φ = 12001131133030.

The previous prime is 12001131133007. The next prime is 12001131133063. The reversal of 12001131133031 is 13033113110021.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12001131133031 is a prime.

It is a super-2 number, since 2×120011311330312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12001131132994 and 12001131133012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001131133531) 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 as a sum of consecutive naturals, namely, 6000565566515 + 6000565566516.

It is an arithmetic number, because the mean of its divisors is an integer number (6000565566516).

Almost surely, 212001131133031 is an apocalyptic number.

12001131133031 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001131133031 is an equidigital number, since it uses as much as digits as its factorization.

12001131133031 is an odious number, because the sum of its binary digits is odd.

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

Adding to 12001131133031 its reverse (13033113110021), we get a palindrome (25034244243052).

The spelling of 12001131133031 in words is "twelve trillion, one billion, one hundred thirty-one million, one hundred thirty-three thousand, thirty-one".