32829819000313 has 2 divisors, whose sum is σ = 32829819000314. Its totient is φ = 32829819000312.

The previous prime is 32829819000227. The next prime is 32829819000373. The reversal of 32829819000313 is 31300091892823.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21121671772224 + 11708147228089 = 4595832^2 + 3421717^2 .

It is a cyclic number.

It is not a de Polignac number, because 32829819000313 - 2⁹ = 32829818999801 is a prime.

It is not a weakly prime, because it can be changed into another prime (32829819000373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16414909500156 + 16414909500157.

It is an arithmetic number, because the mean of its divisors is an integer number (16414909500157).

Almost surely, 2^{32829819000313} is an apocalyptic number.

It is an amenable number.

32829819000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

32829819000313 is an equidigital number, since it uses as much as digits as its factorization.

32829819000313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 32829819000313 in words is "thirty-two trillion, eight hundred twenty-nine billion, eight hundred nineteen million, three hundred thirteen", and thus it is an aban number.