130220100 has 108 divisors (see below), whose sum is σ = 418241460. Its totient is φ = 33868800.

The previous prime is 130220093. The next prime is 130220117. The reversal of 130220100 is 1022031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 49112064 + 81108036 = 7008^2 + 9006^2 .

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 35 ways as a sum of consecutive naturals, for example, 35136 + ... + 38664.

Almost surely, 2^130220100 is an apocalyptic number.

130220100 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 130220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209120730).

130220100 is an abundant number, since it is smaller than the sum of its proper divisors (288021360).

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

130220100 is a wasteful number, since it uses less digits than its factorization.

130220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 130220100 is about 11411.4021925441. The cubic root of 130220100 is about 506.8654335165.

Adding to 130220100 its reverse (1022031), we get a palindrome (131242131).

The spelling of 130220100 in words is "one hundred thirty million, two hundred twenty thousand, one hundred".