311204102141142 has 384 divisors, whose sum is σ = 801284522508288. Its totient is φ = 85450230720000.

The previous prime is 311204102141123. The next prime is 311204102141189. The reversal of 311204102141142 is 241141201402113.

311204102141142 is a `hidden beast` number, since 3 + 1 + 1 + 20 + 410 + 214 + 1 + 14 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 198598660443 + ... + 198598662009.

It is an arithmetic number, because the mean of its divisors is an integer number (2086678444032).

Almost surely, 2^{311204102141142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311204102141142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400642261254144).

311204102141142 is an abundant number, since it is smaller than the sum of its proper divisors (490080420367146).

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

311204102141142 is a wasteful number, since it uses less digits than its factorization.

311204102141142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 311204102141142 its reverse (241141201402113), we get a palindrome (552345303543255).

The spelling of 311204102141142 in words is "three hundred eleven trillion, two hundred four billion, one hundred two million, one hundred forty-one thousand, one hundred forty-two".