130614014300 has 288 divisors, whose sum is σ = 370258968576. Its totient is φ = 38804832000.

The previous prime is 130614014291. The next prime is 130614014351. The reversal of 130614014300 is 3410416031.

It is a super-3 number, since 3×130614014300³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15988817 + ... + 15996983.

Almost surely, 2^130614014300 is an apocalyptic number.

130614014300 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 130614014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185129484288).

130614014300 is an abundant number, since it is smaller than the sum of its proper divisors (239644954276).

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

130614014300 is a wasteful number, since it uses less digits than its factorization.

130614014300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8297 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The spelling of 130614014300 in words is "one hundred thirty billion, six hundred fourteen million, fourteen thousand, three hundred".