213031311001 has 16 divisors (see below), whose sum is σ = 219680584848. Its totient is φ = 206513280000.

The previous prime is 213031310977. The next prime is 213031311007. The reversal of 213031311001 is 100113130312.

It can be written as a sum of positive squares in 8 ways, for example, as 28578240601 + 184453070400 = 169051^2 + 429480^2 .

It is a cyclic number.

It is not a de Polignac number, because 213031311001 - 2⁵ = 213031310969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213031311007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904651 + ... + 1115551.

It is an arithmetic number, because the mean of its divisors is an integer number (13730036553).

Almost surely, 2^213031311001 is an apocalyptic number.

It is an amenable number.

213031311001 is a deficient number, since it is larger than the sum of its proper divisors (6649273847).

213031311001 is a wasteful number, since it uses less digits than its factorization.

213031311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211212.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 213031311001 its reverse (100113130312), we get a palindrome (313144441313).

The spelling of 213031311001 in words is "two hundred thirteen billion, thirty-one million, three hundred eleven thousand, one".