130013131220 has 96 divisors (see below), whose sum is σ = 328725600000. Its totient is φ = 42194939904.

The previous prime is 130013131219. The next prime is 130013131249. The reversal of 130013131220 is 22131310031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3302774 + ... + 3341906.

It is an arithmetic number, because the mean of its divisors is an integer number (3424225000).

Almost surely, 2^130013131220 is an apocalyptic number.

130013131220 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 130013131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164362800000).

130013131220 is an abundant number, since it is smaller than the sum of its proper divisors (198712468780).

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

130013131220 is a wasteful number, since it uses less digits than its factorization.

130013131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40417 (or 40415 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 130013131220 its reverse (22131310031), we get a palindrome (152144441251).

The spelling of 130013131220 in words is "one hundred thirty billion, thirteen million, one hundred thirty-one thousand, two hundred twenty".