10131331032312 has 128 divisors (see below), whose sum is σ = 29356559447040. Its totient is φ = 2853682191360.

The previous prime is 10131331032307. The next prime is 10131331032359. The reversal of 10131331032312 is 21323013313101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227051028 + ... + 227095644.

It is an arithmetic number, because the mean of its divisors is an integer number (229348120680).

Almost surely, 2^{10131331032312} is an apocalyptic number.

10131331032312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131331032312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14678279723520).

10131331032312 is an abundant number, since it is smaller than the sum of its proper divisors (19225228414728).

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

10131331032312 is a wasteful number, since it uses less digits than its factorization.

10131331032312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63741 (or 63737 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 10131331032312 its reverse (21323013313101), we get a palindrome (31454344345413).

The spelling of 10131331032312 in words is "ten trillion, one hundred thirty-one billion, three hundred thirty-one million, thirty-two thousand, three hundred twelve".