1313873957760 has 1536 divisors, whose sum is σ = 5449659264000. Its totient is φ = 267503910912.

The previous prime is 1313873957687. The next prime is 1313873957761. The reversal of 1313873957760 is 677593783131.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1313873957694 and 1313873957703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313873957761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15829806679 + ... + 15829806761.

It is an arithmetic number, because the mean of its divisors is an integer number (3547955250).

Almost surely, 2^{1313873957760} is an apocalyptic number.

1313873957760 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 1313873957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724829632000).

1313873957760 is an abundant number, since it is smaller than the sum of its proper divisors (4135785306240).

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

1313873957760 is an equidigital number, since it uses as much as digits as its factorization.

1313873957760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 60.

The spelling of 1313873957760 in words is "one trillion, three hundred thirteen billion, eight hundred seventy-three million, nine hundred fifty-seven thousand, seven hundred sixty".