1313313133000 has 256 divisors, whose sum is σ = 3504804526080. Its totient is φ = 455954400000.

The previous prime is 1313313132961. The next prime is 1313313133001. The reversal of 1313313133000 is 3313133131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1313313133001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144458455 + ... + 144467545.

It is an arithmetic number, because the mean of its divisors is an integer number (13690642680).

Almost surely, 2^{1313313133000} is an apocalyptic number.

1313313133000 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 1313313133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752402263040).

1313313133000 is an abundant number, since it is smaller than the sum of its proper divisors (2191491393080).

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

1313313133000 is a wasteful number, since it uses less digits than its factorization.

1313313133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9717 (or 9703 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 1313313133000 its reverse (3313133131), we get a palindrome (1316626266131).

It can be divided in two parts, 13133131 and 33000, that added together give a palindrome (13166131).

The spelling of 1313313133000 in words is "one trillion, three hundred thirteen billion, three hundred thirteen million, one hundred thirty-three thousand".