34013501130 has 128 divisors (see below), whose sum is σ = 99308851200. Its totient is φ = 7282497024.

The previous prime is 34013501117. The next prime is 34013501173. The reversal of 34013501130 is 3110531043.

It is a super-2 number, since 2×34013501130² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34013501097 and 34013501106.

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, 307219 + ... + 403001.

It is an arithmetic number, because the mean of its divisors is an integer number (775850400).

Almost surely, 2^34013501130 is an apocalyptic number.

34013501130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34013501130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49654425600).

34013501130 is an abundant number, since it is smaller than the sum of its proper divisors (65295350070).

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

34013501130 is a wasteful number, since it uses less digits than its factorization.

34013501130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95908.

The product of its (nonzero) digits is 540, while the sum is 21.

The spelling of 34013501130 in words is "thirty-four billion, thirteen million, five hundred one thousand, one hundred thirty".