311430001120002 has 160 divisors (see below), whose sum is σ = 707274078139200. Its totient is φ = 102414794712192.

The previous prime is 311430001119967. The next prime is 311430001120003. The reversal of 311430001120002 is 200021100034113.

311430001120002 is a `hidden beast` number, since 31 + 1 + 430 + 0 + 0 + 1 + 1 + 200 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (311430001120003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4076964453 + ... + 4077040839.

It is an arithmetic number, because the mean of its divisors is an integer number (4420462988370).

Almost surely, 2^{311430001120002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311430001120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353637039069600).

311430001120002 is an abundant number, since it is smaller than the sum of its proper divisors (395844077019198).

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

311430001120002 is a wasteful number, since it uses less digits than its factorization.

311430001120002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77502 (or 77493 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 311430001120002 its reverse (200021100034113), we get a palindrome (511451101154115).

The spelling of 311430001120002 in words is "three hundred eleven trillion, four hundred thirty billion, one million, one hundred twenty thousand, two".