1314033226341 has 64 divisors (see below), whose sum is σ = 1970757734400. Its totient is φ = 772018790400.

The previous prime is 1314033226309. The next prime is 1314033226393. The reversal of 1314033226341 is 1436223304131.

It is not a de Polignac number, because 1314033226341 - 2⁵ = 1314033226309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314033227341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135504405 + ... + 135514101.

It is an arithmetic number, because the mean of its divisors is an integer number (30793089600).

Almost surely, 2^{1314033226341} is an apocalyptic number.

1314033226341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1314033226341 is a deficient number, since it is larger than the sum of its proper divisors (656724508059).

1314033226341 is a wasteful number, since it uses less digits than its factorization.

1314033226341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10730.

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 1314033226341 in words is "one trillion, three hundred fourteen billion, thirty-three million, two hundred twenty-six thousand, three hundred forty-one".