1020131311 has 2 divisors, whose sum is σ = 1020131312. Its totient is φ = 1020131310.

The previous prime is 1020131309. The next prime is 1020131317. The reversal of 1020131311 is 1131310201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1020131311 - 2¹ = 1020131309 is a prime.

Together with 1020131309, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1020131291 and 1020131300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020131317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510065655 + 510065656.

It is an arithmetic number, because the mean of its divisors is an integer number (510065656).

Almost surely, 2^1020131311 is an apocalyptic number.

1020131311 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020131311 is an equidigital number, since it uses as much as digits as its factorization.

1020131311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1020131311 is about 31939.4945326315. The cubic root of 1020131311 is about 1006.6659039924.

Adding to 1020131311 its reverse (1131310201), we get a palindrome (2151441512).

The spelling of 1020131311 in words is "one billion, twenty million, one hundred thirty-one thousand, three hundred eleven".