130020950400 has 1536 divisors, whose sum is σ = 535028613120. Its totient is φ = 27358003200.

The previous prime is 130020950369. The next prime is 130020950429. The reversal of 130020950400 is 4059020031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1940611167 + ... + 1940611233.

It is an arithmetic number, because the mean of its divisors is an integer number (348325920).

Almost surely, 2^130020950400 is an apocalyptic number.

130020950400 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 130020950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267514306560).

130020950400 is an abundant number, since it is smaller than the sum of its proper divisors (405007662720).

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

130020950400 is a wasteful number, since it uses less digits than its factorization.

130020950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 130020950400 its reverse (4059020031), we get a palindrome (134079970431).

The spelling of 130020950400 in words is "one hundred thirty billion, twenty million, nine hundred fifty thousand, four hundred".