1313011301000 has 192 divisors, whose sum is σ = 3587010214320. Its totient is φ = 448545484800.

The previous prime is 1313011300949. The next prime is 1313011301009. The reversal of 1313011301000 is 1031103131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 181600413316 + 1131410887684 = 426146^2 + 1063678^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1313011301009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13524632 + ... + 13621368.

Almost surely, 2^{1313011301000} is an apocalyptic number.

1313011301000 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 1313011301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793505107160).

1313011301000 is an abundant number, since it is smaller than the sum of its proper divisors (2273998913320).

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

1313011301000 is a wasteful number, since it uses less digits than its factorization.

1313011301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97049 (or 97028 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1313011301000 its reverse (1031103131), we get a palindrome (1314042404131).

The spelling of 1313011301000 in words is "one trillion, three hundred thirteen billion, eleven million, three hundred one thousand".