210413101314012 has 48 divisors (see below), whose sum is σ = 496652688000000. Its totient is φ = 69327335521600.

The previous prime is 210413101313983. The next prime is 210413101314071.

210413101314012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×210413101314012² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144189012 + ... + 145640987.

It is an arithmetic number, because the mean of its divisors is an integer number (10346931000000).

Almost surely, 2^{210413101314012} is an apocalyptic number.

It is an amenable number.

210413101314012 is an abundant number, since it is smaller than the sum of its proper divisors (286239586685988).

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

210413101314012 is a wasteful number, since it uses less digits than its factorization.

210413101314012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289830706 (or 289830704 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 21041310 and 1314012, that added together give a palindrome (22355322).

The spelling of 210413101314012 in words is "two hundred ten trillion, four hundred thirteen billion, one hundred one million, three hundred fourteen thousand, twelve".