130213012101300 has 288 divisors, whose sum is σ = 428414448470400. Its totient is φ = 33919658910720.

The previous prime is 130213012101299. The next prime is 130213012101373. The reversal of 130213012101300 is 3101210312031.

130213012101300 is a `hidden beast` number, since 1 + 3 + 0 + 21 + 301 + 210 + 130 + 0 = 666.

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

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, 16680582 + ... + 23209218.

It is an arithmetic number, because the mean of its divisors is an integer number (1487550168300).

Almost surely, 2^{130213012101300} is an apocalyptic number.

130213012101300 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 130213012101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214207224235200).

130213012101300 is an abundant number, since it is smaller than the sum of its proper divisors (298201436369100).

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

130213012101300 is a wasteful number, since it uses less digits than its factorization.

130213012101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6528832 (or 6528819 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130213012101300 its reverse (3101210312031), we get a palindrome (133314222413331).

The spelling of 130213012101300 in words is "one hundred thirty trillion, two hundred thirteen billion, twelve million, one hundred one thousand, three hundred".