1314331253301 has 32 divisors (see below), whose sum is σ = 1925341148160. Its totient is φ = 790923369600.

The previous prime is 1314331253189. The next prime is 1314331253311. The reversal of 1314331253301 is 1033521334131.

It is a happy number.

It is not a de Polignac number, because 1314331253301 - 2⁹ = 1314331252789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314331253311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2373840 + ... + 2874678.

It is an arithmetic number, because the mean of its divisors is an integer number (60166910880).

Almost surely, 2^{1314331253301} is an apocalyptic number.

1314331253301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1314331253301 is a deficient number, since it is larger than the sum of its proper divisors (611009894859).

1314331253301 is a wasteful number, since it uses less digits than its factorization.

1314331253301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501417.

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 1314331253301 its reverse (1033521334131), we get a palindrome (2347852587432).

The spelling of 1314331253301 in words is "one trillion, three hundred fourteen billion, three hundred thirty-one million, two hundred fifty-three thousand, three hundred one".