311000040430134 has 256 divisors, whose sum is σ = 746768045703168. Its totient is φ = 85244140800000.

The previous prime is 311000040430099. The next prime is 311000040430139. The reversal of 311000040430134 is 431034040000113.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311000040430139) 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, 10653955479 + ... + 10653984669.

It is an arithmetic number, because the mean of its divisors is an integer number (2917062678528).

Almost surely, 2^{311000040430134} is an apocalyptic number.

311000040430134 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 311000040430134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373384022851584).

311000040430134 is an abundant number, since it is smaller than the sum of its proper divisors (435768005273034).

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

311000040430134 is a wasteful number, since it uses less digits than its factorization.

311000040430134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31363.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 311000040430134 its reverse (431034040000113), we get a palindrome (742034080430247).

The spelling of 311000040430134 in words is "three hundred eleven trillion, forty million, four hundred thirty thousand, one hundred thirty-four".