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1002000313213 is a prime number
BaseRepresentation
bin11101001010010111101…
…11110110101101111101
310112210100010100212100121
432211023313312231331
5112404044040010323
62044151304054541
7132251334063664
oct16451367665575
93483303325317
101002000313213
11356a45066909
1214223ba64451
1373646822623
14366d5d83ddb
151b0e718ba5d
hexe94bdf6b7d

1002000313213 has 2 divisors, whose sum is σ = 1002000313214. Its totient is φ = 1002000313212.

The previous prime is 1002000313199. The next prime is 1002000313393. The reversal of 1002000313213 is 3123130002001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 505175513049 + 496824800164 = 710757^2 + 704858^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002000313213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002000314213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501000156606 + 501000156607.

It is an arithmetic number, because the mean of its divisors is an integer number (501000156607).

Almost surely, 21002000313213 is an apocalyptic number.

It is an amenable number.

1002000313213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002000313213 is an equidigital number, since it uses as much as digits as its factorization.

1002000313213 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 16.

Adding to 1002000313213 its reverse (3123130002001), we get a palindrome (4125130315214).

The spelling of 1002000313213 in words is "one trillion, two billion, three hundred thirteen thousand, two hundred thirteen".