213010213020 has 192 divisors, whose sum is σ = 659274577920. Its totient is φ = 50956646400.

The previous prime is 213010212997. The next prime is 213010213033. The reversal of 213010213020 is 20312010312.

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 63 ways as a sum of consecutive naturals, for example, 31774989 + ... + 31781691.

It is an arithmetic number, because the mean of its divisors is an integer number (3433721760).

Almost surely, 2^213010213020 is an apocalyptic number.

213010213020 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 213010213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329637288960).

213010213020 is an abundant number, since it is smaller than the sum of its proper divisors (446264364900).

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

213010213020 is a wasteful number, since it uses less digits than its factorization.

213010213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7356 (or 7354 counting only the distinct ones).

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

Adding to 213010213020 its reverse (20312010312), we get a palindrome (233322223332).

The spelling of 213010213020 in words is "two hundred thirteen billion, ten million, two hundred thirteen thousand, twenty".