213101130120000 has 560 divisors, whose sum is σ = 722008866205440. Its totient is φ = 55432193024000.

The previous prime is 213101130119989. The next prime is 213101130120023. The reversal of 213101130120000 is 21031101312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1100183161 + ... + 1100376839.

Almost surely, 2^{213101130120000} is an apocalyptic number.

213101130120000 is a gapful number since it is divisible by the number (20) 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 213101130120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361004433102720).

213101130120000 is an abundant number, since it is smaller than the sum of its proper divisors (508907736085440).

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

213101130120000 is a wasteful number, since it uses less digits than its factorization.

213101130120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193940 (or 193915 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 213101130120000 its reverse (21031101312), we get a palindrome (213122161221312).

The spelling of 213101130120000 in words is "two hundred thirteen trillion, one hundred one billion, one hundred thirty million, one hundred twenty thousand".