130002143410400 has 288 divisors, whose sum is σ = 333403550807040. Its totient is φ = 49404576798720.

The previous prime is 130002143410343. The next prime is 130002143410411. The reversal of 130002143410400 is 4014341200031.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2888464697 + ... + 2888509703.

It is an arithmetic number, because the mean of its divisors is an integer number (1157651218080).

Almost surely, 2^{130002143410400} is an apocalyptic number.

130002143410400 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 130002143410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166701775403520).

130002143410400 is an abundant number, since it is smaller than the sum of its proper divisors (203401407396640).

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

130002143410400 is a wasteful number, since it uses less digits than its factorization.

130002143410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46106 (or 46093 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 130002143410400 its reverse (4014341200031), we get a palindrome (134016484610431).

The spelling of 130002143410400 in words is "one hundred thirty trillion, two billion, one hundred forty-three million, four hundred ten thousand, four hundred".