1313401120460 has 384 divisors, whose sum is σ = 3403766983680. Its totient is φ = 419257036800.

The previous prime is 1313401120453. The next prime is 1313401120469. The reversal of 1313401120460 is 640211043131.

It is a happy number.

It is a super-2 number, since 2×1313401120460² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1313401120469) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1317352682 + ... + 1317353678.

It is an arithmetic number, because the mean of its divisors is an integer number (8863976520).

Almost surely, 2^{1313401120460} is an apocalyptic number.

1313401120460 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 1313401120460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701883491840).

1313401120460 is an abundant number, since it is smaller than the sum of its proper divisors (2090365863220).

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

1313401120460 is a wasteful number, since it uses less digits than its factorization.

1313401120460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 1313401120460 its reverse (640211043131), we get a palindrome (1953612163591).

The spelling of 1313401120460 in words is "one trillion, three hundred thirteen billion, four hundred one million, one hundred twenty thousand, four hundred sixty".