213131211324000 has 192 divisors, whose sum is σ = 709664044969152. Its totient is φ = 55903268352000.

The previous prime is 213131211323983. The next prime is 213131211324023. The reversal of 213131211324000 is 423112131312.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144849429 + ... + 146313428.

It is an arithmetic number, because the mean of its divisors is an integer number (3696166900881).

Almost surely, 2^{213131211324000} is an apocalyptic number.

213131211324000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213131211324000 is an abundant number, since it is smaller than the sum of its proper divisors (496532833645152).

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

213131211324000 is a wasteful number, since it uses less digits than its factorization.

213131211324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291162946 (or 291162928 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 213131211324000 its reverse (423112131312), we get a palindrome (213554323455312).

The spelling of 213131211324000 in words is "two hundred thirteen trillion, one hundred thirty-one billion, two hundred eleven million, three hundred twenty-four thousand".