130021133132020 has 192 divisors, whose sum is σ = 312061958208000. Its totient is φ = 45157969188864.

The previous prime is 130021133132017. The next prime is 130021133132027. The reversal of 130021133132020 is 20231331120031.

It is a junction number, because it is equal to n+sod(n) for n = 130021133131982 and 130021133132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130021133132027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125606121 + ... + 126637039.

It is an arithmetic number, because the mean of its divisors is an integer number (1625322699000).

Almost surely, 2^{130021133132020} is an apocalyptic number.

130021133132020 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 130021133132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156030979104000).

130021133132020 is an abundant number, since it is smaller than the sum of its proper divisors (182040825075980).

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

130021133132020 is a wasteful number, since it uses less digits than its factorization.

130021133132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031402 (or 1031400 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 130021133132020 its reverse (20231331120031), we get a palindrome (150252464252051).

The spelling of 130021133132020 in words is "one hundred thirty trillion, twenty-one billion, one hundred thirty-three million, one hundred thirty-two thousand, twenty".