13030523100 has 216 divisors, whose sum is σ = 47940660768. Its totient is φ = 2897856000.

The previous prime is 13030523087. The next prime is 13030523101. The reversal of 13030523100 is 132503031.

13030523100 is a `hidden beast` number, since 1 + 303 + 0 + 52 + 310 + 0 = 666.

It is a super-2 number, since 2×13030523100² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13030523101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 205150 + ... + 261050.

Almost surely, 2^13030523100 is an apocalyptic number.

13030523100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13030523100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23970330384).

13030523100 is an abundant number, since it is smaller than the sum of its proper divisors (34910137668).

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

13030523100 is a wasteful number, since it uses less digits than its factorization.

13030523100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55965 (or 55955 counting only the distinct ones).

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

It can be divided in two parts, 13030 and 523100, that added together give a triangular number (536130 = T₁₀₃₅).

The spelling of 13030523100 in words is "thirteen billion, thirty million, five hundred twenty-three thousand, one hundred".