311430001133420 has 192 divisors, whose sum is σ = 748239283814400. Its totient is φ = 108046537528320.

The previous prime is 311430001133369. The next prime is 311430001133429. The reversal of 311430001133420 is 24331100034113.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 311430001133420.

It is not an unprimeable number, because it can be changed into a prime (311430001133429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141757301 + ... + 143937459.

It is an arithmetic number, because the mean of its divisors is an integer number (3897079603200).

Almost surely, 2^{311430001133420} 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 311430001133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374119641907200).

311430001133420 is an abundant number, since it is smaller than the sum of its proper divisors (436809282680980).

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

311430001133420 is a wasteful number, since it uses less digits than its factorization.

311430001133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180728 (or 2180726 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 311430001133420 its reverse (24331100034113), we get a palindrome (335761101167533).

The spelling of 311430001133420 in words is "three hundred eleven trillion, four hundred thirty billion, one million, one hundred thirty-three thousand, four hundred twenty".