123513030 has 96 divisors (see below), whose sum is σ = 341452800. Its totient is φ = 30917376.

The previous prime is 123513011. The next prime is 123513113. The reversal of 123513030 is 30315321.

123513030 is a `hidden beast` number, since 12 + 351 + 303 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123512994 and 123513012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95931 + ... + 97209.

It is an arithmetic number, because the mean of its divisors is an integer number (3556800).

Almost surely, 2^123513030 is an apocalyptic number.

123513030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123513030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170726400).

123513030 is an abundant number, since it is smaller than the sum of its proper divisors (217939770).

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

123513030 is a wasteful number, since it uses less digits than its factorization.

123513030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 123513030 is about 11113.6416173998. The cubic root of 123513030 is about 498.0094593452.

Adding to 123513030 its reverse (30315321), we get a palindrome (153828351).

The spelling of 123513030 in words is "one hundred twenty-three million, five hundred thirteen thousand, thirty".