1020130130304 has 192 divisors, whose sum is σ = 2951808175680. Its totient is φ = 338162688000.

The previous prime is 1020130130287. The next prime is 1020130130309. The reversal of 1020130130304 is 4030310310201.

1020130130304 is a `hidden beast` number, since 1 + 0 + 201 + 30 + 130 + 304 = 666.

1020130130304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1020130130304³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020130130309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187624674 + ... + 187630110.

It is an arithmetic number, because the mean of its divisors is an integer number (15374000915).

Almost surely, 2^{1020130130304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020130130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475904087840).

1020130130304 is an abundant number, since it is smaller than the sum of its proper divisors (1931678045376).

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

1020130130304 is a wasteful number, since it uses less digits than its factorization.

1020130130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6329 (or 6314 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1020130130304 its reverse (4030310310201), we get a palindrome (5050440440505).

The spelling of 1020130130304 in words is "one trillion, twenty billion, one hundred thirty million, one hundred thirty thousand, three hundred four".