1020303311131 has 12 divisors (see below), whose sum is σ = 1105384115880. Its totient is φ = 941342226240.

The previous prime is 1020303311077. The next prime is 1020303311191. The reversal of 1020303311131 is 1311133030201.

It is not a de Polignac number, because 1020303311131 - 2³³ = 1011713376539 is a prime.

It is a super-2 number, since 2×1020303311131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020303311099 and 1020303311108.

It is not an unprimeable number, because it can be changed into a prime (1020303311191) 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 in 11 ways as a sum of consecutive naturals, for example, 1190890 + ... + 1859791.

It is an arithmetic number, because the mean of its divisors is an integer number (92115342990).

Almost surely, 2^{1020303311131} is an apocalyptic number.

1020303311131 is a deficient number, since it is larger than the sum of its proper divisors (85080804749).

1020303311131 is a wasteful number, since it uses less digits than its factorization.

1020303311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052686 (or 3052673 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1020303311131 its reverse (1311133030201), we get a palindrome (2331436341332).

The spelling of 1020303311131 in words is "one trillion, twenty billion, three hundred three million, three hundred eleven thousand, one hundred thirty-one".