1020233311313 has 2 divisors, whose sum is σ = 1020233311314. Its totient is φ = 1020233311312.

The previous prime is 1020233311309. The next prime is 1020233311351. The reversal of 1020233311313 is 3131133320201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 853317757504 + 166915553809 = 923752^2 + 408553^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020233311313 - 2² = 1020233311309 is a prime.

It is a super-3 number, since 3×1020233311313³ (a number of 37 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1020233311613) 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, 510116655656 + 510116655657.

It is an arithmetic number, because the mean of its divisors is an integer number (510116655657).

Almost surely, 2^{1020233311313} is an apocalyptic number.

It is an amenable number.

1020233311313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020233311313 is an equidigital number, since it uses as much as digits as its factorization.

1020233311313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1020233311313 its reverse (3131133320201), we get a palindrome (4151366631514).

The spelling of 1020233311313 in words is "one trillion, twenty billion, two hundred thirty-three million, three hundred eleven thousand, three hundred thirteen".