10212314130 has 144 divisors (see below), whose sum is σ = 27771156504. Its totient is φ = 2601815040.

The previous prime is 10212314053. The next prime is 10212314131. The reversal of 10212314130 is 3141321201.

10212314130 is a `hidden beast` number, since 1 + 0 + 21 + 231 + 413 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8569390041 + 1642924089 = 92571^2 + 40533^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212314131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11591290 + ... + 11592170.

Almost surely, 2^10212314130 is an apocalyptic number.

10212314130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212314130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13885578252).

10212314130 is an abundant number, since it is smaller than the sum of its proper divisors (17558842374).

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

10212314130 is a wasteful number, since it uses less digits than its factorization.

10212314130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10212314130 its reverse (3141321201), we get a palindrome (13353635331).

The spelling of 10212314130 in words is "ten billion, two hundred twelve million, three hundred fourteen thousand, one hundred thirty".