130213000032 has 96 divisors (see below), whose sum is σ = 358028149248. Its totient is φ = 41359143936.

The previous prime is 130213000013. The next prime is 130213000081. The reversal of 130213000032 is 230000312031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 130212999975 and 130213000020.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 468588 + ... + 692820.

It is an arithmetic number, because the mean of its divisors is an integer number (3729459888).

Almost surely, 2^130213000032 is an apocalyptic number.

130213000032 is a gapful number since it is divisible by the number (12) 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 130213000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179014074624).

130213000032 is an abundant number, since it is smaller than the sum of its proper divisors (227815149216).

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

130213000032 is a wasteful number, since it uses less digits than its factorization.

130213000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224532 (or 224524 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 130213000032 its reverse (230000312031), we get a palindrome (360213312063).

The spelling of 130213000032 in words is "one hundred thirty billion, two hundred thirteen million, thirty-two", and thus it is an aban number.