130413620 has 48 divisors (see below), whose sum is σ = 282613968. Its totient is φ = 50519040.

The previous prime is 130413617. The next prime is 130413623. The reversal of 130413620 is 26314031.

It is an interprime number because it is at equal distance from previous prime (130413617) and next prime (130413623).

It can be written as a sum of positive squares in 8 ways, for example, as 71031184 + 59382436 = 8428^2 + 7706^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130413592 and 130413601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130413623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128234 + ... + 129246.

It is an arithmetic number, because the mean of its divisors is an integer number (5887791).

Almost surely, 2^130413620 is an apocalyptic number.

130413620 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 130413620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141306984).

130413620 is an abundant number, since it is smaller than the sum of its proper divisors (152200348).

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

130413620 is a wasteful number, since it uses less digits than its factorization.

130413620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 130413620 is about 11419.8782830641. The cubic root of 130413620 is about 507.1163933631.

Adding to 130413620 its reverse (26314031), we get a palindrome (156727651).

It can be divided in two parts, 13041 and 3620, that added together give a palindrome (16661).

The spelling of 130413620 in words is "one hundred thirty million, four hundred thirteen thousand, six hundred twenty".