1313413534620 has 576 divisors, whose sum is σ = 4504211712000. Its totient is φ = 307091865600.

The previous prime is 1313413534579. The next prime is 1313413534633. The reversal of 1313413534620 is 264353143131.

1313413534620 is a `hidden beast` number, since 1 + 3 + 13 + 4 + 13 + 5 + 3 + 4 + 620 = 666.

It is a super-2 number, since 2×1313413534620² (a number of 25 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 1707949596 + ... + 1707950364.

It is an arithmetic number, because the mean of its divisors is an integer number (7819812000).

Almost surely, 2^{1313413534620} is an apocalyptic number.

1313413534620 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 1313413534620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252105856000).

1313413534620 is an abundant number, since it is smaller than the sum of its proper divisors (3190798177380).

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

1313413534620 is a wasteful number, since it uses less digits than its factorization.

1313413534620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 1313413534620 its reverse (264353143131), we get a palindrome (1577766677751).

The spelling of 1313413534620 in words is "one trillion, three hundred thirteen billion, four hundred thirteen million, five hundred thirty-four thousand, six hundred twenty".