14311205110513 has 16 divisors (see below), whose sum is σ = 14875193970000. Its totient is φ = 13751971717120.

The previous prime is 14311205110493. The next prime is 14311205110547. The reversal of 14311205110513 is 31501150211341.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35110140129 + 14276094970384 = 187377^2 + 3778372^2 .

It is not a de Polignac number, because 14311205110513 - 2¹³ = 14311205102321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14311205110613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13972113 + ... + 14961361.

It is an arithmetic number, because the mean of its divisors is an integer number (929699623125).

Almost surely, 2^{14311205110513} is an apocalyptic number.

It is an amenable number.

14311205110513 is a deficient number, since it is larger than the sum of its proper divisors (563988859487).

14311205110513 is a wasteful number, since it uses less digits than its factorization.

14311205110513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991652.

The product of its (nonzero) digits is 1800, while the sum is 28.

Adding to 14311205110513 its reverse (31501150211341), we get a palindrome (45812355321854).

The spelling of 14311205110513 in words is "fourteen trillion, three hundred eleven billion, two hundred five million, one hundred ten thousand, five hundred thirteen".