1312014144 has 224 divisors, whose sum is σ = 4213555200. Its totient is φ = 351959040.

The previous prime is 1312014131. The next prime is 1312014149. The reversal of 1312014144 is 4414102131.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1312014144² = 3442762228112105472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1312014144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312014149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4877242 + ... + 4877510.

Almost surely, 2^1312014144 is an apocalyptic number.

1312014144 is a gapful number since it is divisible by the number (14) 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 1312014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106777600).

1312014144 is an abundant number, since it is smaller than the sum of its proper divisors (2901541056).

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

1312014144 is a wasteful number, since it uses less digits than its factorization.

1312014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1312014144 is about 36221.7357949616. The cubic root of 1312014144 is about 1094.7446688919.

Adding to 1312014144 its reverse (4414102131), we get a palindrome (5726116275).

The spelling of 1312014144 in words is "one billion, three hundred twelve million, fourteen thousand, one hundred forty-four".