311431020401020 has 192 divisors, whose sum is σ = 733855430246400. Its totient is φ = 110236740203520.

The previous prime is 311431020400999. The next prime is 311431020401057. The reversal of 311431020401020 is 20104020134113.

It is a junction number, because it is equal to n+sod(n) for n = 311431020400982 and 311431020401000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4549924437 + ... + 4549992883.

It is an arithmetic number, because the mean of its divisors is an integer number (3822163699200).

Almost surely, 2^{311431020401020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311431020401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366927715123200).

311431020401020 is an abundant number, since it is smaller than the sum of its proper divisors (422424409845380).

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

311431020401020 is a wasteful number, since it uses less digits than its factorization.

311431020401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73788 (or 73786 counting only the distinct ones).

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

Adding to 311431020401020 its reverse (20104020134113), we get a palindrome (331535040535133).

The spelling of 311431020401020 in words is "three hundred eleven trillion, four hundred thirty-one billion, twenty million, four hundred one thousand, twenty".