1020211011313 has 16 divisors (see below), whose sum is σ = 1134223552000. Its totient is φ = 911279859840.

The previous prime is 1020211011269. The next prime is 1020211011373. The reversal of 1020211011313 is 3131101120201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1020211011313 - 2⁹ = 1020211010801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020211011373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5133013 + ... + 5328061.

It is an arithmetic number, because the mean of its divisors is an integer number (70888972000).

Almost surely, 2^{1020211011313} is an apocalyptic number.

1020211011313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1020211011313 is a deficient number, since it is larger than the sum of its proper divisors (114012540687).

1020211011313 is a wasteful number, since it uses less digits than its factorization.

1020211011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208072.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1020211011313 its reverse (3131101120201), we get a palindrome (4151312131514).

The spelling of 1020211011313 in words is "one trillion, twenty billion, two hundred eleven million, eleven thousand, three hundred thirteen".