130311002220 has 192 divisors, whose sum is σ = 420143732736. Its totient is φ = 29561241600.

The previous prime is 130311002201. The next prime is 130311002221. The reversal of 130311002220 is 22200113031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130311002220.

It is not an unprimeable number, because it can be changed into a prime (130311002221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39474570 + ... + 39477870.

It is an arithmetic number, because the mean of its divisors is an integer number (2188248608).

Almost surely, 2^130311002220 is an apocalyptic number.

130311002220 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 130311002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210071866368).

130311002220 is an abundant number, since it is smaller than the sum of its proper divisors (289832730516).

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

130311002220 is a wasteful number, since it uses less digits than its factorization.

130311002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 130311002220 its reverse (22200113031), we get a palindrome (152511115251).

The spelling of 130311002220 in words is "one hundred thirty billion, three hundred eleven million, two thousand, two hundred twenty".