311430041111000 has 384 divisors, whose sum is σ = 886284256291200. Its totient is φ = 100318084300800.

The previous prime is 311430041110973. The next prime is 311430041111087. The reversal of 311430041111000 is 111140034113.

It is a super-2 number, since 2×311430041111000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1150951724 + ... + 1151222276.

It is an arithmetic number, because the mean of its divisors is an integer number (2308031917425).

Almost surely, 2^{311430041111000} 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 311430041111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443142128145600).

311430041111000 is an abundant number, since it is smaller than the sum of its proper divisors (574854215180200).

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

311430041111000 is a wasteful number, since it uses less digits than its factorization.

311430041111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271184 (or 271153 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 311430041111000 its reverse (111140034113), we get a palindrome (311541181145113).

The spelling of 311430041111000 in words is "three hundred eleven trillion, four hundred thirty billion, forty-one million, one hundred eleven thousand".