1020131000130 has 256 divisors, whose sum is σ = 2985528637440. Its totient is φ = 219863347200.

The previous prime is 1020131000123. The next prime is 1020131000177. The reversal of 1020131000130 is 310001310201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36972940 + ... + 37000520.

It is an arithmetic number, because the mean of its divisors is an integer number (11662221240).

Almost surely, 2^{1020131000130} is an apocalyptic number.

1020131000130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020131000130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492764318720).

1020131000130 is an abundant number, since it is smaller than the sum of its proper divisors (1965397637310).

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

1020131000130 is a wasteful number, since it uses less digits than its factorization.

1020131000130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27985.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1020131000130 its reverse (310001310201), we get a palindrome (1330132310331).

The spelling of 1020131000130 in words is "one trillion, twenty billion, one hundred thirty-one million, one hundred thirty", and thus it is an aban number.