1020001337 has 2 divisors, whose sum is σ = 1020001338. Its totient is φ = 1020001336.

The previous prime is 1020001303. The next prime is 1020001417. The reversal of 1020001337 is 7331000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 662753536 + 357247801 = 25744^2 + 18901^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020001337 - 2⁶ = 1020001273 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020001637) 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, 510000668 + 510000669.

It is an arithmetic number, because the mean of its divisors is an integer number (510000669).

Almost surely, 2^1020001337 is an apocalyptic number.

It is an amenable number.

1020001337 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020001337 is an equidigital number, since it uses as much as digits as its factorization.

1020001337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 1020001337 is about 31937.4597768827. The cubic root of 1020001337 is about 1006.6231493817.

Adding to 1020001337 its reverse (7331000201), we get a palindrome (8351001538).

The spelling of 1020001337 in words is "one billion, twenty million, one thousand, three hundred thirty-seven".