10131213000000 has 392 divisors, whose sum is σ = 33683778842112. Its totient is φ = 2687360000000.

The previous prime is 10131212999969. The next prime is 10131213000047. The reversal of 10131213000000 is 31213101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10131213000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 572991160 + ... + 573008840.

Almost surely, 2^{10131213000000} is an apocalyptic number.

10131213000000 is a gapful number since it is divisible by the number (10) 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 10131213000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841889421056).

10131213000000 is an abundant number, since it is smaller than the sum of its proper divisors (23552565842112).

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

10131213000000 is an frugal number, since it uses more digits than its factorization.

10131213000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17917 (or 17882 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10131213000000 its reverse (31213101), we get a palindrome (10131244213101).

The spelling of 10131213000000 in words is "ten trillion, one hundred thirty-one billion, two hundred thirteen million", and thus it is an aban number.