12631145010 has 128 divisors (see below), whose sum is σ = 35439151104. Its totient is φ = 2847144960.

The previous prime is 12631144979. The next prime is 12631145039. The reversal of 12631145010 is 1054113621.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 452067 + ... + 479193.

It is an arithmetic number, because the mean of its divisors is an integer number (276868368).

Almost surely, 2^12631145010 is an apocalyptic number.

12631145010 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 12631145010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17719575552).

12631145010 is an abundant number, since it is smaller than the sum of its proper divisors (22808006094).

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

12631145010 is a wasteful number, since it uses less digits than its factorization.

12631145010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27248.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 12631145010 its reverse (1054113621), we get a palindrome (13685258631).

It can be divided in two parts, 12631 and 145010, that added together give a triangular number (157641 = T₅₆₁).

The spelling of 12631145010 in words is "twelve billion, six hundred thirty-one million, one hundred forty-five thousand, ten".