130035401020 has 96 divisors (see below), whose sum is σ = 318897266688. Its totient is φ = 43611409152.

The previous prime is 130035401017. The next prime is 130035401021. The reversal of 130035401020 is 20104530031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130035401021) by changing a digit.

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, 15675994 + ... + 15684286.

It is an arithmetic number, because the mean of its divisors is an integer number (3321846528).

Almost surely, 2^130035401020 is an apocalyptic number.

130035401020 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 130035401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159448633344).

130035401020 is an abundant number, since it is smaller than the sum of its proper divisors (188861865668).

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

130035401020 is a wasteful number, since it uses less digits than its factorization.

130035401020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10739 (or 10737 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 130035401020 its reverse (20104530031), we get a palindrome (150139931051).

The spelling of 130035401020 in words is "one hundred thirty billion, thirty-five million, four hundred one thousand, twenty".