213137213131500 has 864 divisors, whose sum is σ = 756768830178816. Its totient is φ = 46469346470400.

The previous prime is 213137213131421. The next prime is 213137213131517. The reversal of 213137213131500 is 5131312731312.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5130499729 + ... + 5130541271.

It is an arithmetic number, because the mean of its divisors is an integer number (875889849744).

Almost surely, 2^{213137213131500} is an apocalyptic number.

213137213131500 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 213137213131500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378384415089408).

213137213131500 is an abundant number, since it is smaller than the sum of its proper divisors (543631617047316).

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

213137213131500 is a wasteful number, since it uses less digits than its factorization.

213137213131500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41720 (or 41672 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

Adding to 213137213131500 its reverse (5131312731312), we get a palindrome (218268525862812).

The spelling of 213137213131500 in words is "two hundred thirteen trillion, one hundred thirty-seven billion, two hundred thirteen million, one hundred thirty-one thousand, five hundred".