311431020041020 has 192 divisors, whose sum is σ = 719594324209152. Its totient is φ = 112279305600000.

The previous prime is 311431020040963. The next prime is 311431020041081. The reversal of 311431020041020 is 20140020134113.

It is a super-4 number, since 4×311431020041020⁴ (a number of 59 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 311431020040982 and 311431020041000.

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, 10763854474 + ... + 10763883406.

It is an arithmetic number, because the mean of its divisors is an integer number (3747887105256).

Almost surely, 2^{311431020041020} 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 311431020041020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359797162104576).

311431020041020 is an abundant number, since it is smaller than the sum of its proper divisors (408163304168132).

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

311431020041020 is a wasteful number, since it uses less digits than its factorization.

311431020041020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30092 (or 30090 counting only the distinct ones).

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

Adding to 311431020041020 its reverse (20140020134113), we get a palindrome (331571040175133).

The spelling of 311431020041020 in words is "three hundred eleven trillion, four hundred thirty-one billion, twenty million, forty-one thousand, twenty".