311241034020 has 384 divisors, whose sum is σ = 1040161554432. Its totient is φ = 68062924800.

The previous prime is 311241034003. The next prime is 311241034031. The reversal of 311241034020 is 20430142113.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 545080335 + ... + 545080905.

It is an arithmetic number, because the mean of its divisors is an integer number (2708754048).

Almost surely, 2^311241034020 is an apocalyptic number.

311241034020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311241034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520080777216).

311241034020 is an abundant number, since it is smaller than the sum of its proper divisors (728920520412).

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

311241034020 is a wasteful number, since it uses less digits than its factorization.

311241034020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 311241034020 its reverse (20430142113), we get a palindrome (331671176133).

The spelling of 311241034020 in words is "three hundred eleven billion, two hundred forty-one million, thirty-four thousand, twenty".