1014051314000 has 40 divisors (see below), whose sum is σ = 2451976082088. Its totient is φ = 405620524800.

The previous prime is 1014051313993. The next prime is 1014051314051. The reversal of 1014051314000 is 4131504101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3728812096 + 1010322501904 = 61064^2 + 1005148^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253510829 + ... + 253514828.

Almost surely, 2^{1014051314000} is an apocalyptic number.

1014051314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014051314000 is an abundant number, since it is smaller than the sum of its proper divisors (1437924768088).

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

1014051314000 is an equidigital number, since it uses as much as digits as its factorization.

1014051314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507025680 (or 507025664 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 1014051314000 its reverse (4131504101), we get a palindrome (1018182818101).

The spelling of 1014051314000 in words is "one trillion, fourteen billion, fifty-one million, three hundred fourteen thousand".