311341413141 has 96 divisors (see below), whose sum is σ = 522414023040. Its totient is φ = 176585011200.

The previous prime is 311341413139. The next prime is 311341413151. The reversal of 311341413141 is 141314143113.

311341413141 is a `hidden beast` number, since 3 + 1 + 1 + 341 + 4 + 1 + 314 + 1 = 666.

It is not a de Polignac number, because 311341413141 - 2¹ = 311341413139 is a prime.

It is a super-3 number, since 3×311341413141³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311341413101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 304937211 + ... + 304938231.

It is an arithmetic number, because the mean of its divisors is an integer number (5441812740).

Almost surely, 2^311341413141 is an apocalyptic number.

It is an amenable number.

311341413141 is a deficient number, since it is larger than the sum of its proper divisors (211072609899).

311341413141 is a wasteful number, since it uses less digits than its factorization.

311341413141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1904 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 311341413141 its reverse (141314143113), we get a palindrome (452655556254).

The spelling of 311341413141 in words is "three hundred eleven billion, three hundred forty-one million, four hundred thirteen thousand, one hundred forty-one".