213122130312000 has 1792 divisors, whose sum is σ = 890774015459328. Its totient is φ = 43690320691200.

The previous prime is 213122130311911. The next prime is 213122130312017. The reversal of 213122130312000 is 213031221312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 79434262659 + ... + 79434265341.

It is an arithmetic number, because the mean of its divisors is an integer number (497083713984).

Almost surely, 2^{213122130312000} is an apocalyptic number.

213122130312000 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 213122130312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445387007729664).

213122130312000 is an abundant number, since it is smaller than the sum of its proper divisors (677651885147328).

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

213122130312000 is a wasteful number, since it uses less digits than its factorization.

213122130312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213122130312000 its reverse (213031221312), we get a palindrome (213335161533312).

The spelling of 213122130312000 in words is "two hundred thirteen trillion, one hundred twenty-two billion, one hundred thirty million, three hundred twelve thousand".