213301025737044 has 192 divisors, whose sum is σ = 596216269555200. Its totient is φ = 58066245844992.

The previous prime is 213301025737021. The next prime is 213301025737109. The reversal of 213301025737044 is 440737520103312.

It is a happy number.

It is a super-3 number, since 3×213301025737044³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 213301025736987 and 213301025737005.

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, 61344484 + ... + 64728260.

It is an arithmetic number, because the mean of its divisors is an integer number (3105293070600).

Almost surely, 2^{213301025737044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213301025737044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298108134777600).

213301025737044 is an abundant number, since it is smaller than the sum of its proper divisors (382915243818156).

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

213301025737044 is a wasteful number, since it uses less digits than its factorization.

213301025737044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384162 (or 3384160 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 213301025737044 in words is "two hundred thirteen trillion, three hundred one billion, twenty-five million, seven hundred thirty-seven thousand, forty-four".