311034132354141 has 128 divisors (see below), whose sum is σ = 545577698534400. Its totient is φ = 171433760256000.

The previous prime is 311034132354119. The next prime is 311034132354151. The reversal of 311034132354141 is 141453231430113.

311034132354141 is a `hidden beast` number, since 3 + 1 + 1 + 0 + 3 + 4 + 1 + 3 + 235 + 414 + 1 = 666.

It is not a de Polignac number, because 311034132354141 - 2¹⁰ = 311034132353117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311034132354096 and 311034132354105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311034132354151) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11131804231 + ... + 11131832171.

It is an arithmetic number, because the mean of its divisors is an integer number (4262325769800).

Almost surely, 2^{311034132354141} is an apocalyptic number.

It is an amenable number.

311034132354141 is a deficient number, since it is larger than the sum of its proper divisors (234543566180259).

311034132354141 is a wasteful number, since it uses less digits than its factorization.

311034132354141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44228 (or 44222 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 311034132354141 its reverse (141453231430113), we get a palindrome (452487363784254).

The spelling of 311034132354141 in words is "three hundred eleven trillion, thirty-four billion, one hundred thirty-two million, three hundred fifty-four thousand, one hundred forty-one".