130435313400 has 576 divisors, whose sum is σ = 510087352320. Its totient is φ = 29255500800.

The previous prime is 130435313399. The next prime is 130435313401. The reversal of 130435313400 is 4313534031.

130435313400 is a `hidden beast` number, since 1 + 304 + 3 + 5 + 313 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130435313399) and next prime (130435313401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130435313401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 199747474 + ... + 199748126.

It is an arithmetic number, because the mean of its divisors is an integer number (885568320).

Almost surely, 2^130435313400 is an apocalyptic number.

130435313400 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 130435313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255043676160).

130435313400 is an abundant number, since it is smaller than the sum of its proper divisors (379652038920).

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

130435313400 is a wasteful number, since it uses less digits than its factorization.

130435313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 130435313400 its reverse (4313534031), we get a palindrome (134748847431).

The spelling of 130435313400 in words is "one hundred thirty billion, four hundred thirty-five million, three hundred thirteen thousand, four hundred".