13131013341420 has 336 divisors, whose sum is σ = 46459914282432. Its totient is φ = 3091715827200.

The previous prime is 13131013341419. The next prime is 13131013341421. The reversal of 13131013341420 is 2414331013131.

13131013341420 is a `hidden beast` number, since 1 + 3 + 1 + 310 + 1 + 3 + 341 + 4 + 2 + 0 = 666.

13131013341420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13131013341419) and next prime (13131013341421).

It is a super-2 number, since 2×13131013341420² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13131013341421) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2853370 + ... + 5865470.

It is an arithmetic number, because the mean of its divisors is an integer number (138273554412).

Almost surely, 2^{13131013341420} is an apocalyptic number.

13131013341420 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 13131013341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23229957141216).

13131013341420 is an abundant number, since it is smaller than the sum of its proper divisors (33328900941012).

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

13131013341420 is a wasteful number, since it uses less digits than its factorization.

13131013341420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012164 (or 3012147 counting only the distinct ones).

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

Adding to 13131013341420 its reverse (2414331013131), we get a palindrome (15545344354551).

The spelling of 13131013341420 in words is "thirteen trillion, one hundred thirty-one billion, thirteen million, three hundred forty-one thousand, four hundred twenty".