1305102421014 has 96 divisors (see below), whose sum is σ = 3196739116800. Its totient is φ = 353197817280.

The previous prime is 1305102420991. The next prime is 1305102421027. The reversal of 1305102421014 is 4101242015031.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37291404 + ... + 37326384.

It is an arithmetic number, because the mean of its divisors is an integer number (33299365800).

Almost surely, 2^{1305102421014} is an apocalyptic number.

1305102421014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305102421014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598369558400).

1305102421014 is an abundant number, since it is smaller than the sum of its proper divisors (1891636695786).

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

1305102421014 is a wasteful number, since it uses less digits than its factorization.

1305102421014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41698 (or 41691 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 1305102421014 its reverse (4101242015031), we get a palindrome (5406344436045).

The spelling of 1305102421014 in words is "one trillion, three hundred five billion, one hundred two million, four hundred twenty-one thousand, fourteen".