130013100 has 180 divisors, whose sum is σ = 481868464. Its totient is φ = 29704320.

The previous prime is 130013087. The next prime is 130013131. The reversal of 130013100 is 1310031.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×130013100² = 33806812343220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 55554 + ... + 57846.

Almost surely, 2^130013100 is an apocalyptic number.

130013100 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 130013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240934232).

130013100 is an abundant number, since it is smaller than the sum of its proper divisors (351855364).

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

130013100 is a wasteful number, since it uses less digits than its factorization.

130013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 130013100 is about 11402.3287095225. The cubic root of 130013100 is about 506.5967172209.

Adding to 130013100 its reverse (1310031), we get a palindrome (131323131).

It can be divided in two parts, 1300 and 13100, that added together give a square (14400 = 120²).

The spelling of 130013100 in words is "one hundred thirty million, thirteen thousand, one hundred".