1313424152460 has 576 divisors, whose sum is σ = 4818179721600. Its totient is φ = 296137949184.

The previous prime is 1313424152407. The next prime is 1313424152533. The reversal of 1313424152460 is 642514243131.

1313424152460 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 42 + 4 + 152 + 460 = 666.

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 191 ways as a sum of consecutive naturals, for example, 1018947496 + ... + 1018948784.

It is an arithmetic number, because the mean of its divisors is an integer number (8364895350).

Almost surely, 2^{1313424152460} is an apocalyptic number.

1313424152460 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 1313424152460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409089860800).

1313424152460 is an abundant number, since it is smaller than the sum of its proper divisors (3504755569140).

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

1313424152460 is a wasteful number, since it uses less digits than its factorization.

1313424152460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 1313424152460 its reverse (642514243131), we get a palindrome (1955938395591).

The spelling of 1313424152460 in words is "one trillion, three hundred thirteen billion, four hundred twenty-four million, one hundred fifty-two thousand, four hundred sixty".