1313201301000 has 128 divisors (see below), whose sum is σ = 4108798137600. Its totient is φ = 349194700800.

The previous prime is 1313201300989. The next prime is 1313201301017. The reversal of 1313201301000 is 1031023131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438981 + ... + 1679019.

It is an arithmetic number, because the mean of its divisors is an integer number (32099985450).

Almost surely, 2^{1313201301000} is an apocalyptic number.

1313201301000 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 1313201301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054399068800).

1313201301000 is an abundant number, since it is smaller than the sum of its proper divisors (2795596836600).

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

1313201301000 is a wasteful number, since it uses less digits than its factorization.

1313201301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240416 (or 1240402 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1313201301000 its reverse (1031023131), we get a palindrome (1314232324131).

The spelling of 1313201301000 in words is "one trillion, three hundred thirteen billion, two hundred one million, three hundred one thousand".