213241320011400 has 192 divisors, whose sum is σ = 670697629747200. Its totient is φ = 56035094304000.

The previous prime is 213241320011393. The next prime is 213241320011429. The reversal of 213241320011400 is 4110023142312.

It is a super-2 number, since 2×213241320011400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83040705 + ... + 85570095.

It is an arithmetic number, because the mean of its divisors is an integer number (3493216821600).

Almost surely, 2^{213241320011400} is an apocalyptic number.

213241320011400 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 213241320011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335348814873600).

213241320011400 is an abundant number, since it is smaller than the sum of its proper divisors (457456309735800).

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

213241320011400 is a wasteful number, since it uses less digits than its factorization.

213241320011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531460 (or 2531451 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 213241320011400 its reverse (4110023142312), we get a palindrome (217351343153712).

The spelling of 213241320011400 in words is "two hundred thirteen trillion, two hundred forty-one billion, three hundred twenty million, eleven thousand, four hundred".