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10120133321 is a prime number
BaseRepresentation
bin10010110110011010…
…01111101011001001
3222010021211001001122
421123031033223021
5131211223231241
64352113325025
7505533466604
oct113315175311
928107731048
1010120133321
114323607a51
121b65266775
13c5385cc8c
146c00b533b
153e36dd04b
hex25b34fac9

10120133321 has 2 divisors, whose sum is σ = 10120133322. Its totient is φ = 10120133320.

The previous prime is 10120133273. The next prime is 10120133347. The reversal of 10120133321 is 12333102101.

10120133321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6369795721 + 3750337600 = 79811^2 + 61240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10120133321 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10120133321.

It is not a weakly prime, because it can be changed into another prime (10120133021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060066660 + 5060066661.

It is an arithmetic number, because the mean of its divisors is an integer number (5060066661).

Almost surely, 210120133321 is an apocalyptic number.

It is an amenable number.

10120133321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120133321 is an equidigital number, since it uses as much as digits as its factorization.

10120133321 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 17.

Adding to 10120133321 its reverse (12333102101), we get a palindrome (22453235422).

The spelling of 10120133321 in words is "ten billion, one hundred twenty million, one hundred thirty-three thousand, three hundred twenty-one".