213131211324003 has 48 divisors (see below), whose sum is σ = 353317939752960. Its totient is φ = 121276192830912.

The previous prime is 213131211323983. The next prime is 213131211324023. The reversal of 213131211324003 is 300423112131312.

213131211324003 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 121 + 132 + 400 + 3 = 666.

213131211324003 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213131211323983) and next prime (213131211324023).

It is not a de Polignac number, because 213131211324003 - 2⁵ = 213131211323971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213131211324023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576995350 + ... + 577364612.

It is an arithmetic number, because the mean of its divisors is an integer number (7360790411520).

Almost surely, 2^{213131211324003} is an apocalyptic number.

213131211324003 is a deficient number, since it is larger than the sum of its proper divisors (140186728428957).

213131211324003 is a wasteful number, since it uses less digits than its factorization.

213131211324003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407848 (or 407845 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213131211324003 its reverse (300423112131312), we get a palindrome (513554323455315).

The spelling of 213131211324003 in words is "two hundred thirteen trillion, one hundred thirty-one billion, two hundred eleven million, three hundred twenty-four thousand, three".