1314051024312 has 384 divisors, whose sum is σ = 4013696836800. Its totient is φ = 403074247680.

The previous prime is 1314051024287. The next prime is 1314051024337. The reversal of 1314051024312 is 2134201504131.

1314051024312 is a `hidden beast` number, since 1 + 3 + 1 + 405 + 1 + 0 + 243 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1314051024287) and next prime (1314051024337).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1540504878 + ... + 1540505730.

Almost surely, 2^{1314051024312} is an apocalyptic number.

1314051024312 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 1314051024312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006848418400).

1314051024312 is an abundant number, since it is smaller than the sum of its proper divisors (2699645812488).

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

1314051024312 is an equidigital number, since it uses as much as digits as its factorization.

1314051024312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1314051024312 its reverse (2134201504131), we get a palindrome (3448252528443).

The spelling of 1314051024312 in words is "one trillion, three hundred fourteen billion, fifty-one million, twenty-four thousand, three hundred twelve".