213131430114400 has 72 divisors (see below), whose sum is σ = 594636690034800. Its totient is φ = 73073633180160.

The previous prime is 213131430114349. The next prime is 213131430114401. The reversal of 213131430114400 is 4411034131312.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131430114401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19029586375 + ... + 19029597574.

It is an arithmetic number, because the mean of its divisors is an integer number (8258842917150).

Almost surely, 2^{213131430114400} is an apocalyptic number.

213131430114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213131430114400 is an abundant number, since it is smaller than the sum of its proper divisors (381505259920400).

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

213131430114400 is a wasteful number, since it uses less digits than its factorization.

213131430114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38059183976 (or 38059183963 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 213131430114400 its reverse (4411034131312), we get a palindrome (217542464245712).

The spelling of 213131430114400 in words is "two hundred thirteen trillion, one hundred thirty-one billion, four hundred thirty million, one hundred fourteen thousand, four hundred".