213003001331001 has 96 divisors (see below), whose sum is σ = 372959314640640. Its totient is φ = 114429193869312.

The previous prime is 213003001330993. The next prime is 213003001331017. The reversal of 213003001331001 is 100133100300312.

It is a happy number.

213003001331001 is a `hidden beast` number, since 2 + 1 + 30 + 0 + 300 + 1 + 331 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 213003001331001 - 2³ = 213003001330993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213003001335001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 484039591 + ... + 484479443.

It is an arithmetic number, because the mean of its divisors is an integer number (3884992860840).

Almost surely, 2^{213003001331001} is an apocalyptic number.

213003001331001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213003001331001 is a deficient number, since it is larger than the sum of its proper divisors (159956313309639).

213003001331001 is a wasteful number, since it uses less digits than its factorization.

213003001331001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442975 (or 442972 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 213003001331001 its reverse (100133100300312), we get a palindrome (313136101631313).

The spelling of 213003001331001 in words is "two hundred thirteen trillion, three billion, one million, three hundred thirty-one thousand, one".