213203120130000 has 4800 divisors, whose sum is σ = 1037001659645952. Its totient is φ = 39447336960000.

The previous prime is 213203120129969. The next prime is 213203120130029. The reversal of 213203120130000 is 31021302312.

213203120130000 is a `hidden beast` number, since 2 + 1 + 320 + 312 + 0 + 1 + 30 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×213203120130000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 556666109809 + ... + 556666110191.

Almost surely, 2^{213203120130000} is an apocalyptic number.

213203120130000 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 213203120130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518500829822976).

213203120130000 is an abundant number, since it is smaller than the sum of its proper divisors (823798539515952).

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

213203120130000 is a wasteful number, since it uses less digits than its factorization.

213203120130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213203120130000 its reverse (31021302312), we get a palindrome (213234141432312).

The spelling of 213203120130000 in words is "two hundred thirteen trillion, two hundred three billion, one hundred twenty million, one hundred thirty thousand".