1313401120064 has 112 divisors (see below), whose sum is σ = 2897749693440. Its totient is φ = 585624399360.

The previous prime is 1313401120063. The next prime is 1313401120067. The reversal of 1313401120064 is 4600211043131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313401120063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11214899 + ... + 11331405.

It is an arithmetic number, because the mean of its divisors is an integer number (25872765120).

Almost surely, 2^{1313401120064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313401120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448874846720).

1313401120064 is an abundant number, since it is smaller than the sum of its proper divisors (1584348573376).

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

1313401120064 is a wasteful number, since it uses less digits than its factorization.

1313401120064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116836 (or 116826 counting only the distinct ones).

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

Adding to 1313401120064 its reverse (4600211043131), we get a palindrome (5913612163195).

The spelling of 1313401120064 in words is "one trillion, three hundred thirteen billion, four hundred one million, one hundred twenty thousand, sixty-four".