1312110013212 has 288 divisors, whose sum is σ = 3791800696320. Its totient is φ = 394888919040.

The previous prime is 1312110013069. The next prime is 1312110013219. The reversal of 1312110013212 is 2123100112131.

1312110013212 is a `hidden beast` number, since 131 + 211 + 0 + 0 + 1 + 321 + 2 = 666.

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 (1312110013219) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119353188 + ... + 119364180.

It is an arithmetic number, because the mean of its divisors is an integer number (13165974640).

Almost surely, 2^{1312110013212} is an apocalyptic number.

1312110013212 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 1312110013212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895900348160).

1312110013212 is an abundant number, since it is smaller than the sum of its proper divisors (2479690683108).

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

1312110013212 is a wasteful number, since it uses less digits than its factorization.

1312110013212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11335 (or 11321 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1312110013212 its reverse (2123100112131), we get a palindrome (3435210125343).

The spelling of 1312110013212 in words is "one trillion, three hundred twelve billion, one hundred ten million, thirteen thousand, two hundred twelve".