10314133142401 has 16 divisors (see below), whose sum is σ = 11274461497728. Its totient is φ = 9357603337600.

The previous prime is 10314133142381. The next prime is 10314133142441. The reversal of 10314133142401 is 10424133141301.

It is a cyclic number.

It is not a de Polignac number, because 10314133142401 - 2¹⁵ = 10314133109633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10314133142401.

It is not an unprimeable number, because it can be changed into a prime (10314133142441) 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 15 ways as a sum of consecutive naturals, for example, 10670076 + ... + 11596498.

It is an arithmetic number, because the mean of its divisors is an integer number (704653843608).

Almost surely, 2^{10314133142401} is an apocalyptic number.

10314133142401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10314133142401 is a deficient number, since it is larger than the sum of its proper divisors (960328355327).

10314133142401 is a wasteful number, since it uses less digits than its factorization.

10314133142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928472.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 10314133142401 its reverse (10424133141301), we get a palindrome (20738266283702).

The spelling of 10314133142401 in words is "ten trillion, three hundred fourteen billion, one hundred thirty-three million, one hundred forty-two thousand, four hundred one".