5130011300400 has 180 divisors, whose sum is σ = 20345787774832. Its totient is φ = 1172574005760.

The previous prime is 5130011300321. The next prime is 5130011300423. The reversal of 5130011300400 is 40031100315.

5130011300400 is a `hidden beast` number, since 5 + 130 + 0 + 1 + 130 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×5130011300400³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101760739 + ... + 101811138.

Almost surely, 2^{5130011300400} is an apocalyptic number.

5130011300400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5130011300400 is an abundant number, since it is smaller than the sum of its proper divisors (15215776474432).

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

5130011300400 is a wasteful number, since it uses less digits than its factorization.

5130011300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203571908 (or 203571894 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 5130011300400 its reverse (40031100315), we get a palindrome (5170042400715).

The spelling of 5130011300400 in words is "five trillion, one hundred thirty billion, eleven million, three hundred thousand, four hundred".