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2323131310001 is a prime number
BaseRepresentation
bin100001110011100101011…
…010101001111110110001
322020002102000102011202102
4201303211122221332301
5301030233103410001
64535122022230145
7326561234215115
oct41634532517661
98202360364672
102323131310001
11816264073707
123162a3b85355
1313b0bb708c58
1480623b01745
154066b287e6b
hex21ce56a9fb1

2323131310001 has 2 divisors, whose sum is σ = 2323131310002. Its totient is φ = 2323131310000.

The previous prime is 2323131309973. The next prime is 2323131310009. The reversal of 2323131310001 is 1000131313232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1702855354225 + 620275955776 = 1304935^2 + 787576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2323131310001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2323131310009) 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, 1161565655000 + 1161565655001.

It is an arithmetic number, because the mean of its divisors is an integer number (1161565655001).

Almost surely, 22323131310001 is an apocalyptic number.

It is an amenable number.

2323131310001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2323131310001 is an equidigital number, since it uses as much as digits as its factorization.

2323131310001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 2323131310001 its reverse (1000131313232), we get a palindrome (3323262623233).

The spelling of 2323131310001 in words is "two trillion, three hundred twenty-three billion, one hundred thirty-one million, three hundred ten thousand, one".