130213013000000 has 784 divisors, whose sum is σ = 393086955922560. Its totient is φ = 41776742400000.

The previous prime is 130213012999969. The next prime is 130213013000041. The reversal of 130213013000000 is 310312031.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21300996944 + ... + 21301003056.

Almost surely, 2^{130213013000000} is an apocalyptic number.

130213013000000 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 130213013000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196543477961280).

130213013000000 is an abundant number, since it is smaller than the sum of its proper divisors (262873942922560).

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

130213013000000 is an frugal number, since it uses more digits than its factorization.

130213013000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6358 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 130213013000000 its reverse (310312031), we get a palindrome (130213323312031).

The spelling of 130213013000000 in words is "one hundred thirty trillion, two hundred thirteen billion, thirteen million", and thus it is an aban number.