783020135310001 has 2 divisors, whose sum is σ = 783020135310002. Its totient is φ = 783020135310000.

The previous prime is 783020135309999. The next prime is 783020135310167. The reversal of 783020135310001 is 100013531020387.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 746304594667776 + 36715540642225 = 27318576^2 + 6059335^2 .

It is a cyclic number.

It is not a de Polignac number, because 783020135310001 - 2¹ = 783020135309999 is a prime.

It is a super-2 number, since 2×783020135310001² (a number of 31 digits) contains 22 as substring.

Together with 783020135309999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (783020135317001) 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, 391510067655000 + 391510067655001.

It is an arithmetic number, because the mean of its divisors is an integer number (391510067655001).

Almost surely, 2^{783020135310001} is an apocalyptic number.

It is an amenable number.

783020135310001 is a deficient number, since it is larger than the sum of its proper divisors (1).

783020135310001 is an equidigital number, since it uses as much as digits as its factorization.

783020135310001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 34.

Adding to 783020135310001 its reverse (100013531020387), we get a palindrome (883033666330388).

The spelling of 783020135310001 in words is "seven hundred eighty-three trillion, twenty billion, one hundred thirty-five million, three hundred ten thousand, one".