130213086088800 has 1728 divisors, whose sum is σ = 524897083436544. Its totient is φ = 27588518707200.

The previous prime is 130213086088753. The next prime is 130213086088829. The reversal of 130213086088800 is 8880680312031.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 130213086088800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 375253850227 + ... + 375253850573.

It is an arithmetic number, because the mean of its divisors is an integer number (303759886248).

Almost surely, 2^{130213086088800} is an apocalyptic number.

130213086088800 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 130213086088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262448541718272).

130213086088800 is an abundant number, since it is smaller than the sum of its proper divisors (394683997347744).

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

130213086088800 is a wasteful number, since it uses less digits than its factorization.

130213086088800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 130213086088800 in words is "one hundred thirty trillion, two hundred thirteen billion, eighty-six million, eighty-eight thousand, eight hundred".