214031010513 has 16 divisors (see below), whose sum is σ = 300405248000. Its totient is φ = 135172599120.

The previous prime is 214031010491. The next prime is 214031010541. The reversal of 214031010513 is 315010130412.

214031010513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214031010513 - 2⁸ = 214031010257 is a prime.

It is a super-2 number, since 2×214031010513² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 214031010513.

It is not an unprimeable number, because it can be changed into a prime (214031010593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2162688 + ... + 2259486.

It is an arithmetic number, because the mean of its divisors is an integer number (18775328000).

Almost surely, 2^214031010513 is an apocalyptic number.

It is an amenable number.

214031010513 is a deficient number, since it is larger than the sum of its proper divisors (86374237487).

214031010513 is a wasteful number, since it uses less digits than its factorization.

214031010513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135612.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 214031010513 its reverse (315010130412), we get a palindrome (529041140925).

The spelling of 214031010513 in words is "two hundred fourteen billion, thirty-one million, ten thousand, five hundred thirteen".