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1002120131321 is a prime number
BaseRepresentation
bin11101001010100110000…
…00111011001011111001
310112210122110211020220022
432211103000323023321
5112404320223200241
62044211224140225
7132254320366631
oct16452300731371
93483573736808
101002120131321
11356aa6763a41
12142274007675
13736655b480a
1436707c536c1
151b10295854b
hexe95303b2f9

1002120131321 has 2 divisors, whose sum is σ = 1002120131322. Its totient is φ = 1002120131320.

The previous prime is 1002120131317. The next prime is 1002120131329. The reversal of 1002120131321 is 1231310212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 985880197225 + 16239934096 = 992915^2 + 127436^2 .

It is an emirp because it is prime and its reverse (1231310212001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002120131321 - 22 = 1002120131317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1002120131321.

It is not a weakly prime, because it can be changed into another prime (1002120131329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501060065660 + 501060065661.

It is an arithmetic number, because the mean of its divisors is an integer number (501060065661).

Almost surely, 21002120131321 is an apocalyptic number.

It is an amenable number.

1002120131321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002120131321 is an equidigital number, since it uses as much as digits as its factorization.

1002120131321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1002120131321 its reverse (1231310212001), we get a palindrome (2233430343322).

The spelling of 1002120131321 in words is "one trillion, two billion, one hundred twenty million, one hundred thirty-one thousand, three hundred twenty-one".