4134233131314 has 128 divisors (see below), whose sum is σ = 9793794834432. Its totient is φ = 1146935946240.

The previous prime is 4134233131309. The next prime is 4134233131333. The reversal of 4134233131314 is 4131313324314.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 507450589 + ... + 507458735.

It is an arithmetic number, because the mean of its divisors is an integer number (76514022144).

Almost surely, 2^{4134233131314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134233131314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896897417216).

4134233131314 is an abundant number, since it is smaller than the sum of its proper divisors (5659561703118).

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

4134233131314 is a wasteful number, since it uses less digits than its factorization.

4134233131314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12960.

The product of its digits is 31104, while the sum is 33.

Adding to 4134233131314 its reverse (4131313324314), we get a palindrome (8265546455628).

The spelling of 4134233131314 in words is "four trillion, one hundred thirty-four billion, two hundred thirty-three million, one hundred thirty-one thousand, three hundred fourteen".