13311431413020 has 288 divisors, whose sum is σ = 45103253587392. Its totient is φ = 3276026062848.

The previous prime is 13311431412977. The next prime is 13311431413051. The reversal of 13311431413020 is 2031413411331.

13311431413020 is a `hidden beast` number, since 1 + 3 + 31 + 14 + 314 + 1 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 383674794 + ... + 383709486.

Almost surely, 2^{13311431413020} is an apocalyptic number.

13311431413020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311431413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22551626793696).

13311431413020 is an abundant number, since it is smaller than the sum of its proper divisors (31791822174372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13311431413020 is a wasteful number, since it uses less digits than its factorization.

13311431413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40803 (or 40789 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13311431413020 its reverse (2031413411331), we get a palindrome (15342844824351).

The spelling of 13311431413020 in words is "thirteen trillion, three hundred eleven billion, four hundred thirty-one million, four hundred thirteen thousand, twenty".