311442100130112 has 112 divisors (see below), whose sum is σ = 941760717521280. Its totient is φ = 88981649713152.

The previous prime is 311442100130047. The next prime is 311442100130149. The reversal of 311442100130112 is 211031001244113.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64544814 + ... + 69202002.

Almost surely, 2^{311442100130112} is an apocalyptic number.

311442100130112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

311442100130112 is an abundant number, since it is smaller than the sum of its proper divisors (630318617391168).

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

311442100130112 is a wasteful number, since it uses less digits than its factorization.

311442100130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706968 (or 4706958 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 311442100130112 its reverse (211031001244113), we get a palindrome (522473101374225).

The spelling of 311442100130112 in words is "three hundred eleven trillion, four hundred forty-two billion, one hundred million, one hundred thirty thousand, one hundred twelve".