13101413312431 has 16 divisors (see below), whose sum is σ = 13280092489888. Its totient is φ = 12923645644800.

The previous prime is 13101413312401. The next prime is 13101413312443. The reversal of 13101413312431 is 13421331410131.

It is a cyclic number.

It is not a de Polignac number, because 13101413312431 - 2¹⁷ = 13101413181359 is a prime.

It is a super-2 number, since 2×13101413312431² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13101413312431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101413312401) 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, 121728061 + ... + 121835641.

It is an arithmetic number, because the mean of its divisors is an integer number (830005780618).

Almost surely, 2^{13101413312431} is an apocalyptic number.

13101413312431 is a deficient number, since it is larger than the sum of its proper divisors (178679177457).

13101413312431 is a wasteful number, since it uses less digits than its factorization.

13101413312431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111802.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 13101413312431 its reverse (13421331410131), we get a palindrome (26522744722562).

The spelling of 13101413312431 in words is "thirteen trillion, one hundred one billion, four hundred thirteen million, three hundred twelve thousand, four hundred thirty-one".