213003032131000 has 128 divisors (see below), whose sum is σ = 520135381584000. Its totient is φ = 81490929484800.

The previous prime is 213003032130983. The next prime is 213003032131061. The reversal of 213003032131000 is 131230300312.

It is a super-2 number, since 2×213003032131000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325191826 + ... + 325846174.

It is an arithmetic number, because the mean of its divisors is an integer number (4063557668625).

Almost surely, 2^{213003032131000} is an apocalyptic number.

213003032131000 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 213003032131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260067690792000).

213003032131000 is an abundant number, since it is smaller than the sum of its proper divisors (307132349453000).

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

213003032131000 is a wasteful number, since it uses less digits than its factorization.

213003032131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668546 (or 668532 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 213003032131000 its reverse (131230300312), we get a palindrome (213134262431312).

The spelling of 213003032131000 in words is "two hundred thirteen trillion, three billion, thirty-two million, one hundred thirty-one thousand".