1312151040 has 120 divisors (see below), whose sum is σ = 4544427888. Its totient is φ = 349900800.

The previous prime is 1312151033. The next prime is 1312151041. The reversal of 1312151040 is 401512131.

1312151040 is a `hidden beast` number, since 131 + 21 + 510 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (1312151041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5436 + ... + 51515.

Almost surely, 2^1312151040 is an apocalyptic number.

1312151040 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 1312151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272213944).

1312151040 is an abundant number, since it is smaller than the sum of its proper divisors (3232276848).

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

1312151040 is an equidigital number, since it uses as much as digits as its factorization.

1312151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56980 (or 56961 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1312151040 is about 36223.6254397596. The cubic root of 1312151040 is about 1094.7827429109.

Adding to 1312151040 its reverse (401512131), we get a palindrome (1713663171).

The spelling of 1312151040 in words is "one billion, three hundred twelve million, one hundred fifty-one thousand, forty".