130213121202000 has 480 divisors, whose sum is σ = 467678057593344. Its totient is φ = 33741961344000.

The previous prime is 130213121201993. The next prime is 130213121202001. The reversal of 130213121202000 is 202121312031.

130213121202000 is a `hidden beast` number, since 1 + 30 + 2 + 1 + 312 + 120 + 200 + 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 not an unprimeable number, because it can be changed into a prime (130213121202001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 524017785 + ... + 524266215.

Almost surely, 2^{130213121202000} is an apocalyptic number.

130213121202000 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 130213121202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233839028796672).

130213121202000 is an abundant number, since it is smaller than the sum of its proper divisors (337464936391344).

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

130213121202000 is a wasteful number, since it uses less digits than its factorization.

130213121202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249284 (or 249265 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130213121202000 its reverse (202121312031), we get a palindrome (130415242514031).

The spelling of 130213121202000 in words is "one hundred thirty trillion, two hundred thirteen billion, one hundred twenty-one million, two hundred two thousand".