4134013000 has 64 divisors (see below), whose sum is σ = 10417745520. Its totient is φ = 1526400000.

The previous prime is 4134012979. The next prime is 4134013019. The reversal of 4134013000 is 3104314.

It can be written as a sum of positive squares in 8 ways, for example, as 108618084 + 4025394916 = 10422^2 + 63446^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146001 + ... + 172000.

Almost surely, 2^4134013000 is an apocalyptic number.

4134013000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134013000 is an abundant number, since it is smaller than the sum of its proper divisors (6283732520).

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

4134013000 is a wasteful number, since it uses less digits than its factorization.

4134013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318035 (or 318021 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4134013000 is about 64296.2907172723. The cubic root of 4134013000 is about 1604.9343761887.

Adding to 4134013000 its reverse (3104314), we get a palindrome (4137117314).

The spelling of 4134013000 in words is "four billion, one hundred thirty-four million, thirteen thousand".