311020101121021 has 16 divisors (see below), whose sum is σ = 313083494483760. Its totient is φ = 308961879708160.

The previous prime is 311020101121007. The next prime is 311020101121043. The reversal of 311020101121021 is 120121101020113.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 251015541640900 + 60004559480121 = 15843470^2 + 7746261^2 .

It is a cyclic number.

It is not a de Polignac number, because 311020101121021 - 2⁴³ = 302224008098813 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311020101120986 and 311020101121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311020101121621) 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, 442149375 + ... + 442852243.

It is an arithmetic number, because the mean of its divisors is an integer number (19567718405235).

Almost surely, 2^{311020101121021} is an apocalyptic number.

It is an amenable number.

311020101121021 is a deficient number, since it is larger than the sum of its proper divisors (2063393362739).

311020101121021 is a wasteful number, since it uses less digits than its factorization.

311020101121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706544.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 311020101121021 its reverse (120121101020113), we get a palindrome (431141202141134).

The spelling of 311020101121021 in words is "three hundred eleven trillion, twenty billion, one hundred one million, one hundred twenty-one thousand, twenty-one".