13313062427400 has 240 divisors, whose sum is σ = 46257988199940. Its totient is φ = 3548633587200.

The previous prime is 13313062427389. The next prime is 13313062427429. The reversal of 13313062427400 is 472426031331.

13313062427400 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 0 + 6 + 242 + 7 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1309207370436 + 12003855056964 = 1144206^2 + 3464658^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38009070 + ... + 38357730.

Almost surely, 2^{13313062427400} is an apocalyptic number.

13313062427400 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 13313062427400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23128994099970).

13313062427400 is an abundant number, since it is smaller than the sum of its proper divisors (32944925772540).

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

13313062427400 is a wasteful number, since it uses less digits than its factorization.

13313062427400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351046 (or 351028 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 13313062427400 its reverse (472426031331), we get a palindrome (13785488458731).

The spelling of 13313062427400 in words is "thirteen trillion, three hundred thirteen billion, sixty-two million, four hundred twenty-seven thousand, four hundred".