2130212031000 has 256 divisors, whose sum is σ = 6833595525120. Its totient is φ = 552147840000.

The previous prime is 2130212030953. The next prime is 2130212031007. The reversal of 2130212031000 is 1302120312.

It is a super-2 number, since 2×2130212031000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130212031007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33301047 + ... + 33364953.

It is an arithmetic number, because the mean of its divisors is an integer number (26693732520).

Almost surely, 2^{2130212031000} is an apocalyptic number.

2130212031000 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 2130212031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416797762560).

2130212031000 is an abundant number, since it is smaller than the sum of its proper divisors (4703383494120).

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

2130212031000 is a wasteful number, since it uses less digits than its factorization.

2130212031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64243 (or 64229 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2130212031000 its reverse (1302120312), we get a palindrome (2131514151312).

It can be divided in two parts, 213021 and 2031000, that added together give a triangular number (2244021 = T₂₁₁₈).

The spelling of 2130212031000 in words is "two trillion, one hundred thirty billion, two hundred twelve million, thirty-one thousand".