311440321010020 has 24 divisors (see below), whose sum is σ = 654035976022968. Its totient is φ = 124573975660800.

The previous prime is 311440321010009. The next prime is 311440321010047. The reversal of 311440321010020 is 20010123044113.

It can be written as a sum of positive squares in 4 ways, for example, as 5757897791844 + 305682423218176 = 2399562^2 + 17483776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 311440321009973 and 311440321010000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133359891 + ... + 135675130.

It is an arithmetic number, because the mean of its divisors is an integer number (27251499000957).

Almost surely, 2^{311440321010020} is an apocalyptic number.

It is an amenable number.

311440321010020 is an abundant number, since it is smaller than the sum of its proper divisors (342595655012948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311440321010020 is a wasteful number, since it uses less digits than its factorization.

311440321010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269092911 (or 269092909 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 311440321010020 its reverse (20010123044113), we get a palindrome (331450444054133).

The spelling of 311440321010020 in words is "three hundred eleven trillion, four hundred forty billion, three hundred twenty-one million, ten thousand, twenty".