311200331442 has 256 divisors, whose sum is σ = 849473630208. Its totient is φ = 73391431680.

The previous prime is 311200331401. The next prime is 311200331461. The reversal of 311200331442 is 244133002113.

It is a happy number.

It is a super-2 number, since 2×311200331442² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92977213 + ... + 92980559.

It is an arithmetic number, because the mean of its divisors is an integer number (3318256368).

Almost surely, 2^311200331442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311200331442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424736815104).

311200331442 is an abundant number, since it is smaller than the sum of its proper divisors (538273298766).

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

311200331442 is a wasteful number, since it uses less digits than its factorization.

311200331442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 311200331442 its reverse (244133002113), we get a palindrome (555333333555).

The spelling of 311200331442 in words is "three hundred eleven billion, two hundred million, three hundred thirty-one thousand, four hundred forty-two".