213737933124 has 81 divisors (see below), whose sum is σ = 559765515127. Its totient is φ = 68763330048.

The previous prime is 213737933117. The next prime is 213737933131. The reversal of 213737933124 is 421339737312.

The square root of 213737933124 is 462318.

It is a perfect power (a square), and thus also a powerful number.

213737933124 is a `hidden beast` number, since 213 + 7 + 37 + 93 + 312 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (213737933117) and next prime (213737933131).

It can be written as a sum of positive squares in 4 ways, for example, as 6742052100 + 206995881024 = 82110^2 + 454968^2 .

It is a super-2 number, since 2×213737933124² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213737933124.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80442004 + ... + 80444660.

Almost surely, 2^213737933124 is an apocalyptic number.

213737933124 is the 462318-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213737933124

213737933124 is an abundant number, since it is smaller than the sum of its proper divisors (346027582003).

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

213737933124 is an equidigital number, since it uses as much as digits as its factorization.

213737933124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382 (or 2691 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The spelling of 213737933124 in words is "two hundred thirteen billion, seven hundred thirty-seven million, nine hundred thirty-three thousand, one hundred twenty-four".